Given the Number 82,162,080, Calculate (Find) All the Factors (All the Divisors) of the Number 82,162,080 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 82,162,080

1. Carry out the prime factorization of the number 82,162,080:

The prime factorization of a number: finding the prime numbers that multiply together to make that number.


82,162,080 = 25 × 33 × 5 × 7 × 11 × 13 × 19
82,162,080 is not a prime number but a composite one.


* Prime number: a natural number that is divisible (divided evenly) only by 1 and itself. A prime number has exactly two factors: 1 and the number itself.
* Composite number: a natural number that has at least one other factor than 1 and itself.


2. Multiply the prime factors of the number 82,162,080

Multiply the prime factors involved in the prime factorization of the number in all their unique combinations, that give different results.


Also consider the exponents of these prime factors.

Also add 1 to the list of factors (divisors). All the numbers are divisible by 1.


All the factors (divisors) are listed below - in ascending order

The list of factors (divisors):

neither prime nor composite = 1
prime factor = 2
prime factor = 3
22 = 4
prime factor = 5
2 × 3 = 6
prime factor = 7
23 = 8
32 = 9
2 × 5 = 10
prime factor = 11
22 × 3 = 12
prime factor = 13
2 × 7 = 14
3 × 5 = 15
24 = 16
2 × 32 = 18
prime factor = 19
22 × 5 = 20
3 × 7 = 21
2 × 11 = 22
23 × 3 = 24
2 × 13 = 26
33 = 27
22 × 7 = 28
2 × 3 × 5 = 30
25 = 32
3 × 11 = 33
5 × 7 = 35
22 × 32 = 36
2 × 19 = 38
3 × 13 = 39
23 × 5 = 40
2 × 3 × 7 = 42
22 × 11 = 44
32 × 5 = 45
24 × 3 = 48
22 × 13 = 52
2 × 33 = 54
5 × 11 = 55
23 × 7 = 56
3 × 19 = 57
22 × 3 × 5 = 60
32 × 7 = 63
5 × 13 = 65
2 × 3 × 11 = 66
2 × 5 × 7 = 70
23 × 32 = 72
22 × 19 = 76
7 × 11 = 77
2 × 3 × 13 = 78
24 × 5 = 80
22 × 3 × 7 = 84
23 × 11 = 88
2 × 32 × 5 = 90
7 × 13 = 91
5 × 19 = 95
25 × 3 = 96
32 × 11 = 99
23 × 13 = 104
3 × 5 × 7 = 105
22 × 33 = 108
2 × 5 × 11 = 110
24 × 7 = 112
2 × 3 × 19 = 114
32 × 13 = 117
23 × 3 × 5 = 120
2 × 32 × 7 = 126
2 × 5 × 13 = 130
22 × 3 × 11 = 132
7 × 19 = 133
33 × 5 = 135
22 × 5 × 7 = 140
11 × 13 = 143
24 × 32 = 144
23 × 19 = 152
2 × 7 × 11 = 154
22 × 3 × 13 = 156
25 × 5 = 160
3 × 5 × 11 = 165
23 × 3 × 7 = 168
32 × 19 = 171
24 × 11 = 176
22 × 32 × 5 = 180
2 × 7 × 13 = 182
33 × 7 = 189
2 × 5 × 19 = 190
3 × 5 × 13 = 195
2 × 32 × 11 = 198
24 × 13 = 208
11 × 19 = 209
2 × 3 × 5 × 7 = 210
23 × 33 = 216
22 × 5 × 11 = 220
25 × 7 = 224
22 × 3 × 19 = 228
3 × 7 × 11 = 231
2 × 32 × 13 = 234
24 × 3 × 5 = 240
13 × 19 = 247
22 × 32 × 7 = 252
22 × 5 × 13 = 260
23 × 3 × 11 = 264
2 × 7 × 19 = 266
2 × 33 × 5 = 270
3 × 7 × 13 = 273
23 × 5 × 7 = 280
3 × 5 × 19 = 285
2 × 11 × 13 = 286
25 × 32 = 288
33 × 11 = 297
24 × 19 = 304
22 × 7 × 11 = 308
23 × 3 × 13 = 312
32 × 5 × 7 = 315
2 × 3 × 5 × 11 = 330
24 × 3 × 7 = 336
2 × 32 × 19 = 342
33 × 13 = 351
25 × 11 = 352
23 × 32 × 5 = 360
22 × 7 × 13 = 364
2 × 33 × 7 = 378
22 × 5 × 19 = 380
5 × 7 × 11 = 385
2 × 3 × 5 × 13 = 390
22 × 32 × 11 = 396
3 × 7 × 19 = 399
25 × 13 = 416
2 × 11 × 19 = 418
22 × 3 × 5 × 7 = 420
3 × 11 × 13 = 429
24 × 33 = 432
23 × 5 × 11 = 440
5 × 7 × 13 = 455
23 × 3 × 19 = 456
2 × 3 × 7 × 11 = 462
22 × 32 × 13 = 468
25 × 3 × 5 = 480
2 × 13 × 19 = 494
32 × 5 × 11 = 495
23 × 32 × 7 = 504
33 × 19 = 513
23 × 5 × 13 = 520
24 × 3 × 11 = 528
22 × 7 × 19 = 532
22 × 33 × 5 = 540
2 × 3 × 7 × 13 = 546
24 × 5 × 7 = 560
2 × 3 × 5 × 19 = 570
22 × 11 × 13 = 572
32 × 5 × 13 = 585
2 × 33 × 11 = 594
25 × 19 = 608
23 × 7 × 11 = 616
24 × 3 × 13 = 624
3 × 11 × 19 = 627
2 × 32 × 5 × 7 = 630
22 × 3 × 5 × 11 = 660
5 × 7 × 19 = 665
25 × 3 × 7 = 672
22 × 32 × 19 = 684
32 × 7 × 11 = 693
2 × 33 × 13 = 702
5 × 11 × 13 = 715
24 × 32 × 5 = 720
23 × 7 × 13 = 728
3 × 13 × 19 = 741
22 × 33 × 7 = 756
23 × 5 × 19 = 760
2 × 5 × 7 × 11 = 770
22 × 3 × 5 × 13 = 780
23 × 32 × 11 = 792
2 × 3 × 7 × 19 = 798
32 × 7 × 13 = 819
22 × 11 × 19 = 836
23 × 3 × 5 × 7 = 840
32 × 5 × 19 = 855
2 × 3 × 11 × 13 = 858
25 × 33 = 864
24 × 5 × 11 = 880
2 × 5 × 7 × 13 = 910
24 × 3 × 19 = 912
22 × 3 × 7 × 11 = 924
23 × 32 × 13 = 936
33 × 5 × 7 = 945
22 × 13 × 19 = 988
2 × 32 × 5 × 11 = 990
7 × 11 × 13 = 1,001
24 × 32 × 7 = 1,008
2 × 33 × 19 = 1,026
24 × 5 × 13 = 1,040
5 × 11 × 19 = 1,045
25 × 3 × 11 = 1,056
23 × 7 × 19 = 1,064
23 × 33 × 5 = 1,080
22 × 3 × 7 × 13 = 1,092
25 × 5 × 7 = 1,120
22 × 3 × 5 × 19 = 1,140
23 × 11 × 13 = 1,144
3 × 5 × 7 × 11 = 1,155
2 × 32 × 5 × 13 = 1,170
22 × 33 × 11 = 1,188
32 × 7 × 19 = 1,197
24 × 7 × 11 = 1,232
5 × 13 × 19 = 1,235
25 × 3 × 13 = 1,248
2 × 3 × 11 × 19 = 1,254
22 × 32 × 5 × 7 = 1,260
32 × 11 × 13 = 1,287
23 × 3 × 5 × 11 = 1,320
2 × 5 × 7 × 19 = 1,330
3 × 5 × 7 × 13 = 1,365
23 × 32 × 19 = 1,368
2 × 32 × 7 × 11 = 1,386
22 × 33 × 13 = 1,404
2 × 5 × 11 × 13 = 1,430
25 × 32 × 5 = 1,440
24 × 7 × 13 = 1,456
7 × 11 × 19 = 1,463
2 × 3 × 13 × 19 = 1,482
33 × 5 × 11 = 1,485
23 × 33 × 7 = 1,512
24 × 5 × 19 = 1,520
22 × 5 × 7 × 11 = 1,540
23 × 3 × 5 × 13 = 1,560
24 × 32 × 11 = 1,584
22 × 3 × 7 × 19 = 1,596
2 × 32 × 7 × 13 = 1,638
23 × 11 × 19 = 1,672
24 × 3 × 5 × 7 = 1,680
2 × 32 × 5 × 19 = 1,710
22 × 3 × 11 × 13 = 1,716
7 × 13 × 19 = 1,729
33 × 5 × 13 = 1,755
25 × 5 × 11 = 1,760
22 × 5 × 7 × 13 = 1,820
25 × 3 × 19 = 1,824
23 × 3 × 7 × 11 = 1,848
24 × 32 × 13 = 1,872
32 × 11 × 19 = 1,881
2 × 33 × 5 × 7 = 1,890
23 × 13 × 19 = 1,976
22 × 32 × 5 × 11 = 1,980
3 × 5 × 7 × 19 = 1,995
2 × 7 × 11 × 13 = 2,002
25 × 32 × 7 = 2,016
22 × 33 × 19 = 2,052
33 × 7 × 11 = 2,079
25 × 5 × 13 = 2,080
2 × 5 × 11 × 19 = 2,090
24 × 7 × 19 = 2,128
3 × 5 × 11 × 13 = 2,145
24 × 33 × 5 = 2,160
23 × 3 × 7 × 13 = 2,184
32 × 13 × 19 = 2,223
23 × 3 × 5 × 19 = 2,280
24 × 11 × 13 = 2,288
2 × 3 × 5 × 7 × 11 = 2,310
22 × 32 × 5 × 13 = 2,340
23 × 33 × 11 = 2,376
2 × 32 × 7 × 19 = 2,394
33 × 7 × 13 = 2,457
25 × 7 × 11 = 2,464
2 × 5 × 13 × 19 = 2,470
22 × 3 × 11 × 19 = 2,508
23 × 32 × 5 × 7 = 2,520
33 × 5 × 19 = 2,565
2 × 32 × 11 × 13 = 2,574
24 × 3 × 5 × 11 = 2,640
22 × 5 × 7 × 19 = 2,660
11 × 13 × 19 = 2,717
2 × 3 × 5 × 7 × 13 = 2,730
24 × 32 × 19 = 2,736
22 × 32 × 7 × 11 = 2,772
23 × 33 × 13 = 2,808
22 × 5 × 11 × 13 = 2,860
25 × 7 × 13 = 2,912
2 × 7 × 11 × 19 = 2,926
22 × 3 × 13 × 19 = 2,964
2 × 33 × 5 × 11 = 2,970
3 × 7 × 11 × 13 = 3,003
24 × 33 × 7 = 3,024
25 × 5 × 19 = 3,040
23 × 5 × 7 × 11 = 3,080
24 × 3 × 5 × 13 = 3,120
3 × 5 × 11 × 19 = 3,135
25 × 32 × 11 = 3,168
23 × 3 × 7 × 19 = 3,192
22 × 32 × 7 × 13 = 3,276
24 × 11 × 19 = 3,344
25 × 3 × 5 × 7 = 3,360
22 × 32 × 5 × 19 = 3,420
23 × 3 × 11 × 13 = 3,432
2 × 7 × 13 × 19 = 3,458
32 × 5 × 7 × 11 = 3,465
2 × 33 × 5 × 13 = 3,510
33 × 7 × 19 = 3,591
23 × 5 × 7 × 13 = 3,640
24 × 3 × 7 × 11 = 3,696
3 × 5 × 13 × 19 = 3,705
25 × 32 × 13 = 3,744
2 × 32 × 11 × 19 = 3,762
22 × 33 × 5 × 7 = 3,780
33 × 11 × 13 = 3,861
24 × 13 × 19 = 3,952
23 × 32 × 5 × 11 = 3,960
2 × 3 × 5 × 7 × 19 = 3,990
22 × 7 × 11 × 13 = 4,004
32 × 5 × 7 × 13 = 4,095
23 × 33 × 19 = 4,104
2 × 33 × 7 × 11 = 4,158
22 × 5 × 11 × 19 = 4,180
25 × 7 × 19 = 4,256
2 × 3 × 5 × 11 × 13 = 4,290
25 × 33 × 5 = 4,320
24 × 3 × 7 × 13 = 4,368
3 × 7 × 11 × 19 = 4,389
2 × 32 × 13 × 19 = 4,446
24 × 3 × 5 × 19 = 4,560
25 × 11 × 13 = 4,576
22 × 3 × 5 × 7 × 11 = 4,620
23 × 32 × 5 × 13 = 4,680
24 × 33 × 11 = 4,752
22 × 32 × 7 × 19 = 4,788
2 × 33 × 7 × 13 = 4,914
22 × 5 × 13 × 19 = 4,940
5 × 7 × 11 × 13 = 5,005
23 × 3 × 11 × 19 = 5,016
24 × 32 × 5 × 7 = 5,040
2 × 33 × 5 × 19 = 5,130
22 × 32 × 11 × 13 = 5,148
3 × 7 × 13 × 19 = 5,187
25 × 3 × 5 × 11 = 5,280
23 × 5 × 7 × 19 = 5,320
2 × 11 × 13 × 19 = 5,434
22 × 3 × 5 × 7 × 13 = 5,460
25 × 32 × 19 = 5,472
23 × 32 × 7 × 11 = 5,544
24 × 33 × 13 = 5,616
33 × 11 × 19 = 5,643
23 × 5 × 11 × 13 = 5,720
22 × 7 × 11 × 19 = 5,852
23 × 3 × 13 × 19 = 5,928
22 × 33 × 5 × 11 = 5,940
32 × 5 × 7 × 19 = 5,985
2 × 3 × 7 × 11 × 13 = 6,006
25 × 33 × 7 = 6,048
24 × 5 × 7 × 11 = 6,160
25 × 3 × 5 × 13 = 6,240
2 × 3 × 5 × 11 × 19 = 6,270
24 × 3 × 7 × 19 = 6,384
32 × 5 × 11 × 13 = 6,435
23 × 32 × 7 × 13 = 6,552
33 × 13 × 19 = 6,669
25 × 11 × 19 = 6,688
23 × 32 × 5 × 19 = 6,840
24 × 3 × 11 × 13 = 6,864
22 × 7 × 13 × 19 = 6,916
2 × 32 × 5 × 7 × 11 = 6,930
22 × 33 × 5 × 13 = 7,020
2 × 33 × 7 × 19 = 7,182
24 × 5 × 7 × 13 = 7,280
5 × 7 × 11 × 19 = 7,315
25 × 3 × 7 × 11 = 7,392
2 × 3 × 5 × 13 × 19 = 7,410
22 × 32 × 11 × 19 = 7,524
23 × 33 × 5 × 7 = 7,560
2 × 33 × 11 × 13 = 7,722
25 × 13 × 19 = 7,904
24 × 32 × 5 × 11 = 7,920
22 × 3 × 5 × 7 × 19 = 7,980
23 × 7 × 11 × 13 = 8,008
3 × 11 × 13 × 19 = 8,151
2 × 32 × 5 × 7 × 13 = 8,190
24 × 33 × 19 = 8,208
22 × 33 × 7 × 11 = 8,316
23 × 5 × 11 × 19 = 8,360
22 × 3 × 5 × 11 × 13 = 8,580
5 × 7 × 13 × 19 = 8,645
25 × 3 × 7 × 13 = 8,736
2 × 3 × 7 × 11 × 19 = 8,778
22 × 32 × 13 × 19 = 8,892
32 × 7 × 11 × 13 = 9,009
This list continues below...

... This list continues from above
25 × 3 × 5 × 19 = 9,120
23 × 3 × 5 × 7 × 11 = 9,240
24 × 32 × 5 × 13 = 9,360
32 × 5 × 11 × 19 = 9,405
25 × 33 × 11 = 9,504
23 × 32 × 7 × 19 = 9,576
22 × 33 × 7 × 13 = 9,828
23 × 5 × 13 × 19 = 9,880
2 × 5 × 7 × 11 × 13 = 10,010
24 × 3 × 11 × 19 = 10,032
25 × 32 × 5 × 7 = 10,080
22 × 33 × 5 × 19 = 10,260
23 × 32 × 11 × 13 = 10,296
2 × 3 × 7 × 13 × 19 = 10,374
33 × 5 × 7 × 11 = 10,395
24 × 5 × 7 × 19 = 10,640
22 × 11 × 13 × 19 = 10,868
23 × 3 × 5 × 7 × 13 = 10,920
24 × 32 × 7 × 11 = 11,088
32 × 5 × 13 × 19 = 11,115
25 × 33 × 13 = 11,232
2 × 33 × 11 × 19 = 11,286
24 × 5 × 11 × 13 = 11,440
23 × 7 × 11 × 19 = 11,704
24 × 3 × 13 × 19 = 11,856
23 × 33 × 5 × 11 = 11,880
2 × 32 × 5 × 7 × 19 = 11,970
22 × 3 × 7 × 11 × 13 = 12,012
33 × 5 × 7 × 13 = 12,285
25 × 5 × 7 × 11 = 12,320
22 × 3 × 5 × 11 × 19 = 12,540
25 × 3 × 7 × 19 = 12,768
2 × 32 × 5 × 11 × 13 = 12,870
24 × 32 × 7 × 13 = 13,104
32 × 7 × 11 × 19 = 13,167
2 × 33 × 13 × 19 = 13,338
5 × 11 × 13 × 19 = 13,585
24 × 32 × 5 × 19 = 13,680
25 × 3 × 11 × 13 = 13,728
23 × 7 × 13 × 19 = 13,832
22 × 32 × 5 × 7 × 11 = 13,860
23 × 33 × 5 × 13 = 14,040
22 × 33 × 7 × 19 = 14,364
25 × 5 × 7 × 13 = 14,560
2 × 5 × 7 × 11 × 19 = 14,630
22 × 3 × 5 × 13 × 19 = 14,820
3 × 5 × 7 × 11 × 13 = 15,015
23 × 32 × 11 × 19 = 15,048
24 × 33 × 5 × 7 = 15,120
22 × 33 × 11 × 13 = 15,444
32 × 7 × 13 × 19 = 15,561
25 × 32 × 5 × 11 = 15,840
23 × 3 × 5 × 7 × 19 = 15,960
24 × 7 × 11 × 13 = 16,016
2 × 3 × 11 × 13 × 19 = 16,302
22 × 32 × 5 × 7 × 13 = 16,380
25 × 33 × 19 = 16,416
23 × 33 × 7 × 11 = 16,632
24 × 5 × 11 × 19 = 16,720
23 × 3 × 5 × 11 × 13 = 17,160
2 × 5 × 7 × 13 × 19 = 17,290
22 × 3 × 7 × 11 × 19 = 17,556
23 × 32 × 13 × 19 = 17,784
33 × 5 × 7 × 19 = 17,955
2 × 32 × 7 × 11 × 13 = 18,018
24 × 3 × 5 × 7 × 11 = 18,480
25 × 32 × 5 × 13 = 18,720
2 × 32 × 5 × 11 × 19 = 18,810
7 × 11 × 13 × 19 = 19,019
24 × 32 × 7 × 19 = 19,152
33 × 5 × 11 × 13 = 19,305
23 × 33 × 7 × 13 = 19,656
24 × 5 × 13 × 19 = 19,760
22 × 5 × 7 × 11 × 13 = 20,020
25 × 3 × 11 × 19 = 20,064
23 × 33 × 5 × 19 = 20,520
24 × 32 × 11 × 13 = 20,592
22 × 3 × 7 × 13 × 19 = 20,748
2 × 33 × 5 × 7 × 11 = 20,790
25 × 5 × 7 × 19 = 21,280
23 × 11 × 13 × 19 = 21,736
24 × 3 × 5 × 7 × 13 = 21,840
3 × 5 × 7 × 11 × 19 = 21,945
25 × 32 × 7 × 11 = 22,176
2 × 32 × 5 × 13 × 19 = 22,230
22 × 33 × 11 × 19 = 22,572
25 × 5 × 11 × 13 = 22,880
24 × 7 × 11 × 19 = 23,408
25 × 3 × 13 × 19 = 23,712
24 × 33 × 5 × 11 = 23,760
22 × 32 × 5 × 7 × 19 = 23,940
23 × 3 × 7 × 11 × 13 = 24,024
32 × 11 × 13 × 19 = 24,453
2 × 33 × 5 × 7 × 13 = 24,570
23 × 3 × 5 × 11 × 19 = 25,080
22 × 32 × 5 × 11 × 13 = 25,740
3 × 5 × 7 × 13 × 19 = 25,935
25 × 32 × 7 × 13 = 26,208
2 × 32 × 7 × 11 × 19 = 26,334
22 × 33 × 13 × 19 = 26,676
33 × 7 × 11 × 13 = 27,027
2 × 5 × 11 × 13 × 19 = 27,170
25 × 32 × 5 × 19 = 27,360
24 × 7 × 13 × 19 = 27,664
23 × 32 × 5 × 7 × 11 = 27,720
24 × 33 × 5 × 13 = 28,080
33 × 5 × 11 × 19 = 28,215
23 × 33 × 7 × 19 = 28,728
22 × 5 × 7 × 11 × 19 = 29,260
23 × 3 × 5 × 13 × 19 = 29,640
2 × 3 × 5 × 7 × 11 × 13 = 30,030
24 × 32 × 11 × 19 = 30,096
25 × 33 × 5 × 7 = 30,240
23 × 33 × 11 × 13 = 30,888
2 × 32 × 7 × 13 × 19 = 31,122
24 × 3 × 5 × 7 × 19 = 31,920
25 × 7 × 11 × 13 = 32,032
22 × 3 × 11 × 13 × 19 = 32,604
23 × 32 × 5 × 7 × 13 = 32,760
24 × 33 × 7 × 11 = 33,264
33 × 5 × 13 × 19 = 33,345
25 × 5 × 11 × 19 = 33,440
24 × 3 × 5 × 11 × 13 = 34,320
22 × 5 × 7 × 13 × 19 = 34,580
23 × 3 × 7 × 11 × 19 = 35,112
24 × 32 × 13 × 19 = 35,568
2 × 33 × 5 × 7 × 19 = 35,910
22 × 32 × 7 × 11 × 13 = 36,036
25 × 3 × 5 × 7 × 11 = 36,960
22 × 32 × 5 × 11 × 19 = 37,620
2 × 7 × 11 × 13 × 19 = 38,038
25 × 32 × 7 × 19 = 38,304
2 × 33 × 5 × 11 × 13 = 38,610
24 × 33 × 7 × 13 = 39,312
33 × 7 × 11 × 19 = 39,501
25 × 5 × 13 × 19 = 39,520
23 × 5 × 7 × 11 × 13 = 40,040
3 × 5 × 11 × 13 × 19 = 40,755
24 × 33 × 5 × 19 = 41,040
25 × 32 × 11 × 13 = 41,184
23 × 3 × 7 × 13 × 19 = 41,496
22 × 33 × 5 × 7 × 11 = 41,580
24 × 11 × 13 × 19 = 43,472
25 × 3 × 5 × 7 × 13 = 43,680
2 × 3 × 5 × 7 × 11 × 19 = 43,890
22 × 32 × 5 × 13 × 19 = 44,460
32 × 5 × 7 × 11 × 13 = 45,045
23 × 33 × 11 × 19 = 45,144
33 × 7 × 13 × 19 = 46,683
25 × 7 × 11 × 19 = 46,816
25 × 33 × 5 × 11 = 47,520
23 × 32 × 5 × 7 × 19 = 47,880
24 × 3 × 7 × 11 × 13 = 48,048
2 × 32 × 11 × 13 × 19 = 48,906
22 × 33 × 5 × 7 × 13 = 49,140
24 × 3 × 5 × 11 × 19 = 50,160
23 × 32 × 5 × 11 × 13 = 51,480
2 × 3 × 5 × 7 × 13 × 19 = 51,870
22 × 32 × 7 × 11 × 19 = 52,668
23 × 33 × 13 × 19 = 53,352
2 × 33 × 7 × 11 × 13 = 54,054
22 × 5 × 11 × 13 × 19 = 54,340
25 × 7 × 13 × 19 = 55,328
24 × 32 × 5 × 7 × 11 = 55,440
25 × 33 × 5 × 13 = 56,160
2 × 33 × 5 × 11 × 19 = 56,430
3 × 7 × 11 × 13 × 19 = 57,057
24 × 33 × 7 × 19 = 57,456
23 × 5 × 7 × 11 × 19 = 58,520
24 × 3 × 5 × 13 × 19 = 59,280
22 × 3 × 5 × 7 × 11 × 13 = 60,060
25 × 32 × 11 × 19 = 60,192
24 × 33 × 11 × 13 = 61,776
22 × 32 × 7 × 13 × 19 = 62,244
25 × 3 × 5 × 7 × 19 = 63,840
23 × 3 × 11 × 13 × 19 = 65,208
24 × 32 × 5 × 7 × 13 = 65,520
32 × 5 × 7 × 11 × 19 = 65,835
25 × 33 × 7 × 11 = 66,528
2 × 33 × 5 × 13 × 19 = 66,690
25 × 3 × 5 × 11 × 13 = 68,640
23 × 5 × 7 × 13 × 19 = 69,160
24 × 3 × 7 × 11 × 19 = 70,224
25 × 32 × 13 × 19 = 71,136
22 × 33 × 5 × 7 × 19 = 71,820
23 × 32 × 7 × 11 × 13 = 72,072
33 × 11 × 13 × 19 = 73,359
23 × 32 × 5 × 11 × 19 = 75,240
22 × 7 × 11 × 13 × 19 = 76,076
22 × 33 × 5 × 11 × 13 = 77,220
32 × 5 × 7 × 13 × 19 = 77,805
25 × 33 × 7 × 13 = 78,624
2 × 33 × 7 × 11 × 19 = 79,002
24 × 5 × 7 × 11 × 13 = 80,080
2 × 3 × 5 × 11 × 13 × 19 = 81,510
25 × 33 × 5 × 19 = 82,080
24 × 3 × 7 × 13 × 19 = 82,992
23 × 33 × 5 × 7 × 11 = 83,160
25 × 11 × 13 × 19 = 86,944
22 × 3 × 5 × 7 × 11 × 19 = 87,780
23 × 32 × 5 × 13 × 19 = 88,920
2 × 32 × 5 × 7 × 11 × 13 = 90,090
24 × 33 × 11 × 19 = 90,288
2 × 33 × 7 × 13 × 19 = 93,366
5 × 7 × 11 × 13 × 19 = 95,095
24 × 32 × 5 × 7 × 19 = 95,760
25 × 3 × 7 × 11 × 13 = 96,096
22 × 32 × 11 × 13 × 19 = 97,812
23 × 33 × 5 × 7 × 13 = 98,280
25 × 3 × 5 × 11 × 19 = 100,320
24 × 32 × 5 × 11 × 13 = 102,960
22 × 3 × 5 × 7 × 13 × 19 = 103,740
23 × 32 × 7 × 11 × 19 = 105,336
24 × 33 × 13 × 19 = 106,704
22 × 33 × 7 × 11 × 13 = 108,108
23 × 5 × 11 × 13 × 19 = 108,680
25 × 32 × 5 × 7 × 11 = 110,880
22 × 33 × 5 × 11 × 19 = 112,860
2 × 3 × 7 × 11 × 13 × 19 = 114,114
25 × 33 × 7 × 19 = 114,912
24 × 5 × 7 × 11 × 19 = 117,040
25 × 3 × 5 × 13 × 19 = 118,560
23 × 3 × 5 × 7 × 11 × 13 = 120,120
32 × 5 × 11 × 13 × 19 = 122,265
25 × 33 × 11 × 13 = 123,552
23 × 32 × 7 × 13 × 19 = 124,488
24 × 3 × 11 × 13 × 19 = 130,416
25 × 32 × 5 × 7 × 13 = 131,040
2 × 32 × 5 × 7 × 11 × 19 = 131,670
22 × 33 × 5 × 13 × 19 = 133,380
33 × 5 × 7 × 11 × 13 = 135,135
24 × 5 × 7 × 13 × 19 = 138,320
25 × 3 × 7 × 11 × 19 = 140,448
23 × 33 × 5 × 7 × 19 = 143,640
24 × 32 × 7 × 11 × 13 = 144,144
2 × 33 × 11 × 13 × 19 = 146,718
24 × 32 × 5 × 11 × 19 = 150,480
23 × 7 × 11 × 13 × 19 = 152,152
23 × 33 × 5 × 11 × 13 = 154,440
2 × 32 × 5 × 7 × 13 × 19 = 155,610
22 × 33 × 7 × 11 × 19 = 158,004
25 × 5 × 7 × 11 × 13 = 160,160
22 × 3 × 5 × 11 × 13 × 19 = 163,020
25 × 3 × 7 × 13 × 19 = 165,984
24 × 33 × 5 × 7 × 11 = 166,320
32 × 7 × 11 × 13 × 19 = 171,171
23 × 3 × 5 × 7 × 11 × 19 = 175,560
24 × 32 × 5 × 13 × 19 = 177,840
22 × 32 × 5 × 7 × 11 × 13 = 180,180
25 × 33 × 11 × 19 = 180,576
22 × 33 × 7 × 13 × 19 = 186,732
2 × 5 × 7 × 11 × 13 × 19 = 190,190
25 × 32 × 5 × 7 × 19 = 191,520
23 × 32 × 11 × 13 × 19 = 195,624
24 × 33 × 5 × 7 × 13 = 196,560
33 × 5 × 7 × 11 × 19 = 197,505
25 × 32 × 5 × 11 × 13 = 205,920
23 × 3 × 5 × 7 × 13 × 19 = 207,480
24 × 32 × 7 × 11 × 19 = 210,672
25 × 33 × 13 × 19 = 213,408
23 × 33 × 7 × 11 × 13 = 216,216
24 × 5 × 11 × 13 × 19 = 217,360
23 × 33 × 5 × 11 × 19 = 225,720
22 × 3 × 7 × 11 × 13 × 19 = 228,228
33 × 5 × 7 × 13 × 19 = 233,415
25 × 5 × 7 × 11 × 19 = 234,080
24 × 3 × 5 × 7 × 11 × 13 = 240,240
2 × 32 × 5 × 11 × 13 × 19 = 244,530
24 × 32 × 7 × 13 × 19 = 248,976
25 × 3 × 11 × 13 × 19 = 260,832
22 × 32 × 5 × 7 × 11 × 19 = 263,340
23 × 33 × 5 × 13 × 19 = 266,760
2 × 33 × 5 × 7 × 11 × 13 = 270,270
25 × 5 × 7 × 13 × 19 = 276,640
3 × 5 × 7 × 11 × 13 × 19 = 285,285
24 × 33 × 5 × 7 × 19 = 287,280
25 × 32 × 7 × 11 × 13 = 288,288
22 × 33 × 11 × 13 × 19 = 293,436
25 × 32 × 5 × 11 × 19 = 300,960
24 × 7 × 11 × 13 × 19 = 304,304
24 × 33 × 5 × 11 × 13 = 308,880
22 × 32 × 5 × 7 × 13 × 19 = 311,220
23 × 33 × 7 × 11 × 19 = 316,008
23 × 3 × 5 × 11 × 13 × 19 = 326,040
25 × 33 × 5 × 7 × 11 = 332,640
2 × 32 × 7 × 11 × 13 × 19 = 342,342
24 × 3 × 5 × 7 × 11 × 19 = 351,120
25 × 32 × 5 × 13 × 19 = 355,680
23 × 32 × 5 × 7 × 11 × 13 = 360,360
33 × 5 × 11 × 13 × 19 = 366,795
23 × 33 × 7 × 13 × 19 = 373,464
22 × 5 × 7 × 11 × 13 × 19 = 380,380
24 × 32 × 11 × 13 × 19 = 391,248
25 × 33 × 5 × 7 × 13 = 393,120
2 × 33 × 5 × 7 × 11 × 19 = 395,010
24 × 3 × 5 × 7 × 13 × 19 = 414,960
25 × 32 × 7 × 11 × 19 = 421,344
24 × 33 × 7 × 11 × 13 = 432,432
25 × 5 × 11 × 13 × 19 = 434,720
24 × 33 × 5 × 11 × 19 = 451,440
23 × 3 × 7 × 11 × 13 × 19 = 456,456
2 × 33 × 5 × 7 × 13 × 19 = 466,830
25 × 3 × 5 × 7 × 11 × 13 = 480,480
22 × 32 × 5 × 11 × 13 × 19 = 489,060
25 × 32 × 7 × 13 × 19 = 497,952
33 × 7 × 11 × 13 × 19 = 513,513
23 × 32 × 5 × 7 × 11 × 19 = 526,680
24 × 33 × 5 × 13 × 19 = 533,520
22 × 33 × 5 × 7 × 11 × 13 = 540,540
2 × 3 × 5 × 7 × 11 × 13 × 19 = 570,570
25 × 33 × 5 × 7 × 19 = 574,560
23 × 33 × 11 × 13 × 19 = 586,872
25 × 7 × 11 × 13 × 19 = 608,608
25 × 33 × 5 × 11 × 13 = 617,760
23 × 32 × 5 × 7 × 13 × 19 = 622,440
24 × 33 × 7 × 11 × 19 = 632,016
24 × 3 × 5 × 11 × 13 × 19 = 652,080
22 × 32 × 7 × 11 × 13 × 19 = 684,684
25 × 3 × 5 × 7 × 11 × 19 = 702,240
24 × 32 × 5 × 7 × 11 × 13 = 720,720
2 × 33 × 5 × 11 × 13 × 19 = 733,590
24 × 33 × 7 × 13 × 19 = 746,928
23 × 5 × 7 × 11 × 13 × 19 = 760,760
25 × 32 × 11 × 13 × 19 = 782,496
22 × 33 × 5 × 7 × 11 × 19 = 790,020
25 × 3 × 5 × 7 × 13 × 19 = 829,920
32 × 5 × 7 × 11 × 13 × 19 = 855,855
25 × 33 × 7 × 11 × 13 = 864,864
25 × 33 × 5 × 11 × 19 = 902,880
24 × 3 × 7 × 11 × 13 × 19 = 912,912
22 × 33 × 5 × 7 × 13 × 19 = 933,660
23 × 32 × 5 × 11 × 13 × 19 = 978,120
2 × 33 × 7 × 11 × 13 × 19 = 1,027,026
24 × 32 × 5 × 7 × 11 × 19 = 1,053,360
25 × 33 × 5 × 13 × 19 = 1,067,040
23 × 33 × 5 × 7 × 11 × 13 = 1,081,080
22 × 3 × 5 × 7 × 11 × 13 × 19 = 1,141,140
24 × 33 × 11 × 13 × 19 = 1,173,744
24 × 32 × 5 × 7 × 13 × 19 = 1,244,880
25 × 33 × 7 × 11 × 19 = 1,264,032
25 × 3 × 5 × 11 × 13 × 19 = 1,304,160
23 × 32 × 7 × 11 × 13 × 19 = 1,369,368
25 × 32 × 5 × 7 × 11 × 13 = 1,441,440
22 × 33 × 5 × 11 × 13 × 19 = 1,467,180
25 × 33 × 7 × 13 × 19 = 1,493,856
24 × 5 × 7 × 11 × 13 × 19 = 1,521,520
23 × 33 × 5 × 7 × 11 × 19 = 1,580,040
2 × 32 × 5 × 7 × 11 × 13 × 19 = 1,711,710
25 × 3 × 7 × 11 × 13 × 19 = 1,825,824
23 × 33 × 5 × 7 × 13 × 19 = 1,867,320
24 × 32 × 5 × 11 × 13 × 19 = 1,956,240
22 × 33 × 7 × 11 × 13 × 19 = 2,054,052
25 × 32 × 5 × 7 × 11 × 19 = 2,106,720
24 × 33 × 5 × 7 × 11 × 13 = 2,162,160
23 × 3 × 5 × 7 × 11 × 13 × 19 = 2,282,280
25 × 33 × 11 × 13 × 19 = 2,347,488
25 × 32 × 5 × 7 × 13 × 19 = 2,489,760
33 × 5 × 7 × 11 × 13 × 19 = 2,567,565
24 × 32 × 7 × 11 × 13 × 19 = 2,738,736
23 × 33 × 5 × 11 × 13 × 19 = 2,934,360
25 × 5 × 7 × 11 × 13 × 19 = 3,043,040
24 × 33 × 5 × 7 × 11 × 19 = 3,160,080
22 × 32 × 5 × 7 × 11 × 13 × 19 = 3,423,420
24 × 33 × 5 × 7 × 13 × 19 = 3,734,640
25 × 32 × 5 × 11 × 13 × 19 = 3,912,480
23 × 33 × 7 × 11 × 13 × 19 = 4,108,104
25 × 33 × 5 × 7 × 11 × 13 = 4,324,320
24 × 3 × 5 × 7 × 11 × 13 × 19 = 4,564,560
2 × 33 × 5 × 7 × 11 × 13 × 19 = 5,135,130
25 × 32 × 7 × 11 × 13 × 19 = 5,477,472
24 × 33 × 5 × 11 × 13 × 19 = 5,868,720
25 × 33 × 5 × 7 × 11 × 19 = 6,320,160
23 × 32 × 5 × 7 × 11 × 13 × 19 = 6,846,840
25 × 33 × 5 × 7 × 13 × 19 = 7,469,280
24 × 33 × 7 × 11 × 13 × 19 = 8,216,208
25 × 3 × 5 × 7 × 11 × 13 × 19 = 9,129,120
22 × 33 × 5 × 7 × 11 × 13 × 19 = 10,270,260
25 × 33 × 5 × 11 × 13 × 19 = 11,737,440
24 × 32 × 5 × 7 × 11 × 13 × 19 = 13,693,680
25 × 33 × 7 × 11 × 13 × 19 = 16,432,416
23 × 33 × 5 × 7 × 11 × 13 × 19 = 20,540,520
25 × 32 × 5 × 7 × 11 × 13 × 19 = 27,387,360
24 × 33 × 5 × 7 × 11 × 13 × 19 = 41,081,040
25 × 33 × 5 × 7 × 11 × 13 × 19 = 82,162,080

The final answer:
(scroll down)

82,162,080 has 768 factors (divisors):
1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 13; 14; 15; 16; 18; 19; 20; 21; 22; 24; 26; 27; 28; 30; 32; 33; 35; 36; 38; 39; 40; 42; 44; 45; 48; 52; 54; 55; 56; 57; 60; 63; 65; 66; 70; 72; 76; 77; 78; 80; 84; 88; 90; 91; 95; 96; 99; 104; 105; 108; 110; 112; 114; 117; 120; 126; 130; 132; 133; 135; 140; 143; 144; 152; 154; 156; 160; 165; 168; 171; 176; 180; 182; 189; 190; 195; 198; 208; 209; 210; 216; 220; 224; 228; 231; 234; 240; 247; 252; 260; 264; 266; 270; 273; 280; 285; 286; 288; 297; 304; 308; 312; 315; 330; 336; 342; 351; 352; 360; 364; 378; 380; 385; 390; 396; 399; 416; 418; 420; 429; 432; 440; 455; 456; 462; 468; 480; 494; 495; 504; 513; 520; 528; 532; 540; 546; 560; 570; 572; 585; 594; 608; 616; 624; 627; 630; 660; 665; 672; 684; 693; 702; 715; 720; 728; 741; 756; 760; 770; 780; 792; 798; 819; 836; 840; 855; 858; 864; 880; 910; 912; 924; 936; 945; 988; 990; 1,001; 1,008; 1,026; 1,040; 1,045; 1,056; 1,064; 1,080; 1,092; 1,120; 1,140; 1,144; 1,155; 1,170; 1,188; 1,197; 1,232; 1,235; 1,248; 1,254; 1,260; 1,287; 1,320; 1,330; 1,365; 1,368; 1,386; 1,404; 1,430; 1,440; 1,456; 1,463; 1,482; 1,485; 1,512; 1,520; 1,540; 1,560; 1,584; 1,596; 1,638; 1,672; 1,680; 1,710; 1,716; 1,729; 1,755; 1,760; 1,820; 1,824; 1,848; 1,872; 1,881; 1,890; 1,976; 1,980; 1,995; 2,002; 2,016; 2,052; 2,079; 2,080; 2,090; 2,128; 2,145; 2,160; 2,184; 2,223; 2,280; 2,288; 2,310; 2,340; 2,376; 2,394; 2,457; 2,464; 2,470; 2,508; 2,520; 2,565; 2,574; 2,640; 2,660; 2,717; 2,730; 2,736; 2,772; 2,808; 2,860; 2,912; 2,926; 2,964; 2,970; 3,003; 3,024; 3,040; 3,080; 3,120; 3,135; 3,168; 3,192; 3,276; 3,344; 3,360; 3,420; 3,432; 3,458; 3,465; 3,510; 3,591; 3,640; 3,696; 3,705; 3,744; 3,762; 3,780; 3,861; 3,952; 3,960; 3,990; 4,004; 4,095; 4,104; 4,158; 4,180; 4,256; 4,290; 4,320; 4,368; 4,389; 4,446; 4,560; 4,576; 4,620; 4,680; 4,752; 4,788; 4,914; 4,940; 5,005; 5,016; 5,040; 5,130; 5,148; 5,187; 5,280; 5,320; 5,434; 5,460; 5,472; 5,544; 5,616; 5,643; 5,720; 5,852; 5,928; 5,940; 5,985; 6,006; 6,048; 6,160; 6,240; 6,270; 6,384; 6,435; 6,552; 6,669; 6,688; 6,840; 6,864; 6,916; 6,930; 7,020; 7,182; 7,280; 7,315; 7,392; 7,410; 7,524; 7,560; 7,722; 7,904; 7,920; 7,980; 8,008; 8,151; 8,190; 8,208; 8,316; 8,360; 8,580; 8,645; 8,736; 8,778; 8,892; 9,009; 9,120; 9,240; 9,360; 9,405; 9,504; 9,576; 9,828; 9,880; 10,010; 10,032; 10,080; 10,260; 10,296; 10,374; 10,395; 10,640; 10,868; 10,920; 11,088; 11,115; 11,232; 11,286; 11,440; 11,704; 11,856; 11,880; 11,970; 12,012; 12,285; 12,320; 12,540; 12,768; 12,870; 13,104; 13,167; 13,338; 13,585; 13,680; 13,728; 13,832; 13,860; 14,040; 14,364; 14,560; 14,630; 14,820; 15,015; 15,048; 15,120; 15,444; 15,561; 15,840; 15,960; 16,016; 16,302; 16,380; 16,416; 16,632; 16,720; 17,160; 17,290; 17,556; 17,784; 17,955; 18,018; 18,480; 18,720; 18,810; 19,019; 19,152; 19,305; 19,656; 19,760; 20,020; 20,064; 20,520; 20,592; 20,748; 20,790; 21,280; 21,736; 21,840; 21,945; 22,176; 22,230; 22,572; 22,880; 23,408; 23,712; 23,760; 23,940; 24,024; 24,453; 24,570; 25,080; 25,740; 25,935; 26,208; 26,334; 26,676; 27,027; 27,170; 27,360; 27,664; 27,720; 28,080; 28,215; 28,728; 29,260; 29,640; 30,030; 30,096; 30,240; 30,888; 31,122; 31,920; 32,032; 32,604; 32,760; 33,264; 33,345; 33,440; 34,320; 34,580; 35,112; 35,568; 35,910; 36,036; 36,960; 37,620; 38,038; 38,304; 38,610; 39,312; 39,501; 39,520; 40,040; 40,755; 41,040; 41,184; 41,496; 41,580; 43,472; 43,680; 43,890; 44,460; 45,045; 45,144; 46,683; 46,816; 47,520; 47,880; 48,048; 48,906; 49,140; 50,160; 51,480; 51,870; 52,668; 53,352; 54,054; 54,340; 55,328; 55,440; 56,160; 56,430; 57,057; 57,456; 58,520; 59,280; 60,060; 60,192; 61,776; 62,244; 63,840; 65,208; 65,520; 65,835; 66,528; 66,690; 68,640; 69,160; 70,224; 71,136; 71,820; 72,072; 73,359; 75,240; 76,076; 77,220; 77,805; 78,624; 79,002; 80,080; 81,510; 82,080; 82,992; 83,160; 86,944; 87,780; 88,920; 90,090; 90,288; 93,366; 95,095; 95,760; 96,096; 97,812; 98,280; 100,320; 102,960; 103,740; 105,336; 106,704; 108,108; 108,680; 110,880; 112,860; 114,114; 114,912; 117,040; 118,560; 120,120; 122,265; 123,552; 124,488; 130,416; 131,040; 131,670; 133,380; 135,135; 138,320; 140,448; 143,640; 144,144; 146,718; 150,480; 152,152; 154,440; 155,610; 158,004; 160,160; 163,020; 165,984; 166,320; 171,171; 175,560; 177,840; 180,180; 180,576; 186,732; 190,190; 191,520; 195,624; 196,560; 197,505; 205,920; 207,480; 210,672; 213,408; 216,216; 217,360; 225,720; 228,228; 233,415; 234,080; 240,240; 244,530; 248,976; 260,832; 263,340; 266,760; 270,270; 276,640; 285,285; 287,280; 288,288; 293,436; 300,960; 304,304; 308,880; 311,220; 316,008; 326,040; 332,640; 342,342; 351,120; 355,680; 360,360; 366,795; 373,464; 380,380; 391,248; 393,120; 395,010; 414,960; 421,344; 432,432; 434,720; 451,440; 456,456; 466,830; 480,480; 489,060; 497,952; 513,513; 526,680; 533,520; 540,540; 570,570; 574,560; 586,872; 608,608; 617,760; 622,440; 632,016; 652,080; 684,684; 702,240; 720,720; 733,590; 746,928; 760,760; 782,496; 790,020; 829,920; 855,855; 864,864; 902,880; 912,912; 933,660; 978,120; 1,027,026; 1,053,360; 1,067,040; 1,081,080; 1,141,140; 1,173,744; 1,244,880; 1,264,032; 1,304,160; 1,369,368; 1,441,440; 1,467,180; 1,493,856; 1,521,520; 1,580,040; 1,711,710; 1,825,824; 1,867,320; 1,956,240; 2,054,052; 2,106,720; 2,162,160; 2,282,280; 2,347,488; 2,489,760; 2,567,565; 2,738,736; 2,934,360; 3,043,040; 3,160,080; 3,423,420; 3,734,640; 3,912,480; 4,108,104; 4,324,320; 4,564,560; 5,135,130; 5,477,472; 5,868,720; 6,320,160; 6,846,840; 7,469,280; 8,216,208; 9,129,120; 10,270,260; 11,737,440; 13,693,680; 16,432,416; 20,540,520; 27,387,360; 41,081,040 and 82,162,080
out of which 7 prime factors: 2; 3; 5; 7; 11; 13 and 19
82,162,080 and 1 are sometimes called improper factors, the others are called proper factors (proper divisors).

A quick way to find the factors (the divisors) of a number is to break it down into prime factors.


Then multiply the prime factors and their exponents, if any, in all their different combinations.


Calculate all the divisors (factors) of the given numbers

How to calculate (find) all the factors (divisors) of a number:

Break down the number into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

To calculate the common factors of two numbers:

The common factors (divisors) of two numbers are all the factors of the greatest common factor, gcf.

Calculate the greatest (highest) common factor (divisor) of the two numbers, gcf (hcf, gcd).

Break down the GCF into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

The latest 10 sets of calculated factors (divisors): of one number or the common factors of two numbers

What are all the proper, improper and prime factors (all the divisors) of the number 82,162,080? How to calculate them? Mar 28 08:22 UTC (GMT)
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The list of all the calculated factors (divisors) of one or two numbers

Factors (divisors), common factors (common divisors), the greatest common factor, GCF (also called the greatest common divisor, GCD, or the highest common factor, HCF)

  • If the number "t" is a factor (divisor) of the number "a" then in the prime factorization of "t" we will only encounter prime factors that also occur in the prime factorization of "a".
  • If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" (powers, or multiplicities) is at most equal to the exponent of the same base that is involved in the prime factorization of "a".
  • Hint: 23 = 2 × 2 × 2 = 8. 2 is called the base and 3 is the exponent. 23 is the power and 8 is the value of the power. We sometimes say that the number 2 is raised to the power of 3.
  • For example, 12 is a factor (divisor) of 120 - the remainder is zero when dividing 120 by 12.
  • Let's look at the prime factorization of both numbers and notice the bases and the exponents that occur in the prime factorization of both numbers:
  • 12 = 2 × 2 × 3 = 22 × 3
  • 120 = 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
  • 120 contains all the prime factors of 12, and all its bases' exponents are higher than those of 12.
  • If "t" is a common factor (divisor) of "a" and "b", then the prime factorization of "t" contains only the common prime factors involved in the prime factorizations of both "a" and "b".
  • If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" is at most equal to the minimum of the exponents of the same base that is involved in the prime factorization of both "a" and "b".
  • For example, 12 is the common factor of 48 and 360.
  • The remainder is zero when dividing either 48 or 360 by 12.
  • Here there are the prime factorizations of the three numbers, 12, 48 and 360:
  • 12 = 22 × 3
  • 48 = 24 × 3
  • 360 = 23 × 32 × 5
  • Please note that 48 and 360 have more factors (divisors): 2, 3, 4, 6, 8, 12, 24. Among them, 24 is the greatest common factor, GCF (or the greatest common divisor, GCD, or the highest common factor, HCF) of 48 and 360.
  • The greatest common factor, GCF, of two numbers, "a" and "b", is the product of all the common prime factors involved in the prime factorizations of both "a" and "b", taken by the lowest exponents.
  • Based on this rule it is calculated the greatest common factor, GCF, (or the greatest common divisor GCD, HCF) of several numbers, as shown in the example below...
  • GCF, GCD (1,260; 3,024; 5,544) = ?
  • 1,260 = 22 × 32
  • 3,024 = 24 × 32 × 7
  • 5,544 = 23 × 32 × 7 × 11
  • The common prime factors are:
  • 2 - its lowest exponent (multiplicity) is: min.(2; 3; 4) = 2
  • 3 - its lowest exponent (multiplicity) is: min.(2; 2; 2) = 2
  • GCF, GCD (1,260; 3,024; 5,544) = 22 × 32 = 252
  • Coprime numbers:
  • If two numbers "a" and "b" have no other common factors (divisors) than 1, gfc, gcd, hcf (a; b) = 1, then the numbers "a" and "b" are called coprime (or relatively prime).
  • Factors of the GCF
  • If "a" and "b" are not coprime, then every common factor (divisor) of "a" and "b" is a also a factor (divisor) of the greatest common factor, GCF (greatest common divisor, GCD, highest common factor, HCF) of "a" and "b".