Given the Number 480,956,112, Calculate (Find) All the Factors (All the Divisors) of the Number 480,956,112 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 480,956,112

1. Carry out the prime factorization of the number 480,956,112:

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

480,956,112 = 24 × 32 × 7 × 13 × 172 × 127
480,956,112 is not a prime number but a composite one.

» Online calculator. Check whether a number is prime or not. The prime factorization of composite numbers

* 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 480,956,112

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
2 × 3 = 6
prime factor = 7
23 = 8
32 = 9
22 × 3 = 12
prime factor = 13
2 × 7 = 14
24 = 16
prime factor = 17
2 × 32 = 18
3 × 7 = 21
23 × 3 = 24
2 × 13 = 26
22 × 7 = 28
2 × 17 = 34
22 × 32 = 36
3 × 13 = 39
2 × 3 × 7 = 42
24 × 3 = 48
3 × 17 = 51
22 × 13 = 52
23 × 7 = 56
32 × 7 = 63
22 × 17 = 68
23 × 32 = 72
2 × 3 × 13 = 78
22 × 3 × 7 = 84
7 × 13 = 91
2 × 3 × 17 = 102
23 × 13 = 104
24 × 7 = 112
32 × 13 = 117
7 × 17 = 119
2 × 32 × 7 = 126
prime factor = 127
23 × 17 = 136
24 × 32 = 144
32 × 17 = 153
22 × 3 × 13 = 156
23 × 3 × 7 = 168
2 × 7 × 13 = 182
22 × 3 × 17 = 204
24 × 13 = 208
13 × 17 = 221
2 × 32 × 13 = 234
2 × 7 × 17 = 238
22 × 32 × 7 = 252
2 × 127 = 254
24 × 17 = 272
3 × 7 × 13 = 273
172 = 289
2 × 32 × 17 = 306
23 × 3 × 13 = 312
24 × 3 × 7 = 336
3 × 7 × 17 = 357
22 × 7 × 13 = 364
3 × 127 = 381
23 × 3 × 17 = 408
2 × 13 × 17 = 442
22 × 32 × 13 = 468
22 × 7 × 17 = 476
23 × 32 × 7 = 504
22 × 127 = 508
2 × 3 × 7 × 13 = 546
2 × 172 = 578
22 × 32 × 17 = 612
24 × 3 × 13 = 624
3 × 13 × 17 = 663
2 × 3 × 7 × 17 = 714
23 × 7 × 13 = 728
2 × 3 × 127 = 762
24 × 3 × 17 = 816
32 × 7 × 13 = 819
3 × 172 = 867
22 × 13 × 17 = 884
7 × 127 = 889
23 × 32 × 13 = 936
23 × 7 × 17 = 952
24 × 32 × 7 = 1,008
23 × 127 = 1,016
32 × 7 × 17 = 1,071
22 × 3 × 7 × 13 = 1,092
32 × 127 = 1,143
22 × 172 = 1,156
23 × 32 × 17 = 1,224
2 × 3 × 13 × 17 = 1,326
22 × 3 × 7 × 17 = 1,428
24 × 7 × 13 = 1,456
22 × 3 × 127 = 1,524
7 × 13 × 17 = 1,547
2 × 32 × 7 × 13 = 1,638
13 × 127 = 1,651
2 × 3 × 172 = 1,734
23 × 13 × 17 = 1,768
2 × 7 × 127 = 1,778
24 × 32 × 13 = 1,872
24 × 7 × 17 = 1,904
32 × 13 × 17 = 1,989
7 × 172 = 2,023
24 × 127 = 2,032
2 × 32 × 7 × 17 = 2,142
17 × 127 = 2,159
23 × 3 × 7 × 13 = 2,184
2 × 32 × 127 = 2,286
23 × 172 = 2,312
24 × 32 × 17 = 2,448
32 × 172 = 2,601
22 × 3 × 13 × 17 = 2,652
3 × 7 × 127 = 2,667
23 × 3 × 7 × 17 = 2,856
23 × 3 × 127 = 3,048
2 × 7 × 13 × 17 = 3,094
22 × 32 × 7 × 13 = 3,276
2 × 13 × 127 = 3,302
22 × 3 × 172 = 3,468
24 × 13 × 17 = 3,536
22 × 7 × 127 = 3,556
13 × 172 = 3,757
2 × 32 × 13 × 17 = 3,978
2 × 7 × 172 = 4,046
22 × 32 × 7 × 17 = 4,284
2 × 17 × 127 = 4,318
24 × 3 × 7 × 13 = 4,368
22 × 32 × 127 = 4,572
24 × 172 = 4,624
3 × 7 × 13 × 17 = 4,641
3 × 13 × 127 = 4,953
2 × 32 × 172 = 5,202
23 × 3 × 13 × 17 = 5,304
2 × 3 × 7 × 127 = 5,334
24 × 3 × 7 × 17 = 5,712
3 × 7 × 172 = 6,069
24 × 3 × 127 = 6,096
22 × 7 × 13 × 17 = 6,188
3 × 17 × 127 = 6,477
23 × 32 × 7 × 13 = 6,552
22 × 13 × 127 = 6,604
23 × 3 × 172 = 6,936
23 × 7 × 127 = 7,112
2 × 13 × 172 = 7,514
22 × 32 × 13 × 17 = 7,956
32 × 7 × 127 = 8,001
22 × 7 × 172 = 8,092
23 × 32 × 7 × 17 = 8,568
22 × 17 × 127 = 8,636
23 × 32 × 127 = 9,144
2 × 3 × 7 × 13 × 17 = 9,282
2 × 3 × 13 × 127 = 9,906
22 × 32 × 172 = 10,404
24 × 3 × 13 × 17 = 10,608
22 × 3 × 7 × 127 = 10,668
3 × 13 × 172 = 11,271
7 × 13 × 127 = 11,557
2 × 3 × 7 × 172 = 12,138
23 × 7 × 13 × 17 = 12,376
2 × 3 × 17 × 127 = 12,954
24 × 32 × 7 × 13 = 13,104
23 × 13 × 127 = 13,208
24 × 3 × 172 = 13,872
32 × 7 × 13 × 17 = 13,923
24 × 7 × 127 = 14,224
32 × 13 × 127 = 14,859
22 × 13 × 172 = 15,028
7 × 17 × 127 = 15,113
23 × 32 × 13 × 17 = 15,912
2 × 32 × 7 × 127 = 16,002
23 × 7 × 172 = 16,184
24 × 32 × 7 × 17 = 17,136
23 × 17 × 127 = 17,272
32 × 7 × 172 = 18,207
24 × 32 × 127 = 18,288
22 × 3 × 7 × 13 × 17 = 18,564
32 × 17 × 127 = 19,431
22 × 3 × 13 × 127 = 19,812
23 × 32 × 172 = 20,808
23 × 3 × 7 × 127 = 21,336
This list continues below...

... This list continues from above
2 × 3 × 13 × 172 = 22,542
2 × 7 × 13 × 127 = 23,114
22 × 3 × 7 × 172 = 24,276
24 × 7 × 13 × 17 = 24,752
22 × 3 × 17 × 127 = 25,908
7 × 13 × 172 = 26,299
24 × 13 × 127 = 26,416
2 × 32 × 7 × 13 × 17 = 27,846
13 × 17 × 127 = 28,067
2 × 32 × 13 × 127 = 29,718
23 × 13 × 172 = 30,056
2 × 7 × 17 × 127 = 30,226
24 × 32 × 13 × 17 = 31,824
22 × 32 × 7 × 127 = 32,004
24 × 7 × 172 = 32,368
32 × 13 × 172 = 33,813
24 × 17 × 127 = 34,544
3 × 7 × 13 × 127 = 34,671
2 × 32 × 7 × 172 = 36,414
172 × 127 = 36,703
23 × 3 × 7 × 13 × 17 = 37,128
2 × 32 × 17 × 127 = 38,862
23 × 3 × 13 × 127 = 39,624
24 × 32 × 172 = 41,616
24 × 3 × 7 × 127 = 42,672
22 × 3 × 13 × 172 = 45,084
3 × 7 × 17 × 127 = 45,339
22 × 7 × 13 × 127 = 46,228
23 × 3 × 7 × 172 = 48,552
23 × 3 × 17 × 127 = 51,816
2 × 7 × 13 × 172 = 52,598
22 × 32 × 7 × 13 × 17 = 55,692
2 × 13 × 17 × 127 = 56,134
22 × 32 × 13 × 127 = 59,436
24 × 13 × 172 = 60,112
22 × 7 × 17 × 127 = 60,452
23 × 32 × 7 × 127 = 64,008
2 × 32 × 13 × 172 = 67,626
2 × 3 × 7 × 13 × 127 = 69,342
22 × 32 × 7 × 172 = 72,828
2 × 172 × 127 = 73,406
24 × 3 × 7 × 13 × 17 = 74,256
22 × 32 × 17 × 127 = 77,724
3 × 7 × 13 × 172 = 78,897
24 × 3 × 13 × 127 = 79,248
3 × 13 × 17 × 127 = 84,201
23 × 3 × 13 × 172 = 90,168
2 × 3 × 7 × 17 × 127 = 90,678
23 × 7 × 13 × 127 = 92,456
24 × 3 × 7 × 172 = 97,104
24 × 3 × 17 × 127 = 103,632
32 × 7 × 13 × 127 = 104,013
22 × 7 × 13 × 172 = 105,196
3 × 172 × 127 = 110,109
23 × 32 × 7 × 13 × 17 = 111,384
22 × 13 × 17 × 127 = 112,268
23 × 32 × 13 × 127 = 118,872
23 × 7 × 17 × 127 = 120,904
24 × 32 × 7 × 127 = 128,016
22 × 32 × 13 × 172 = 135,252
32 × 7 × 17 × 127 = 136,017
22 × 3 × 7 × 13 × 127 = 138,684
23 × 32 × 7 × 172 = 145,656
22 × 172 × 127 = 146,812
23 × 32 × 17 × 127 = 155,448
2 × 3 × 7 × 13 × 172 = 157,794
2 × 3 × 13 × 17 × 127 = 168,402
24 × 3 × 13 × 172 = 180,336
22 × 3 × 7 × 17 × 127 = 181,356
24 × 7 × 13 × 127 = 184,912
7 × 13 × 17 × 127 = 196,469
2 × 32 × 7 × 13 × 127 = 208,026
23 × 7 × 13 × 172 = 210,392
2 × 3 × 172 × 127 = 220,218
24 × 32 × 7 × 13 × 17 = 222,768
23 × 13 × 17 × 127 = 224,536
32 × 7 × 13 × 172 = 236,691
24 × 32 × 13 × 127 = 237,744
24 × 7 × 17 × 127 = 241,808
32 × 13 × 17 × 127 = 252,603
7 × 172 × 127 = 256,921
23 × 32 × 13 × 172 = 270,504
2 × 32 × 7 × 17 × 127 = 272,034
23 × 3 × 7 × 13 × 127 = 277,368
24 × 32 × 7 × 172 = 291,312
23 × 172 × 127 = 293,624
24 × 32 × 17 × 127 = 310,896
22 × 3 × 7 × 13 × 172 = 315,588
32 × 172 × 127 = 330,327
22 × 3 × 13 × 17 × 127 = 336,804
23 × 3 × 7 × 17 × 127 = 362,712
2 × 7 × 13 × 17 × 127 = 392,938
22 × 32 × 7 × 13 × 127 = 416,052
24 × 7 × 13 × 172 = 420,784
22 × 3 × 172 × 127 = 440,436
24 × 13 × 17 × 127 = 449,072
2 × 32 × 7 × 13 × 172 = 473,382
13 × 172 × 127 = 477,139
2 × 32 × 13 × 17 × 127 = 505,206
2 × 7 × 172 × 127 = 513,842
24 × 32 × 13 × 172 = 541,008
22 × 32 × 7 × 17 × 127 = 544,068
24 × 3 × 7 × 13 × 127 = 554,736
24 × 172 × 127 = 587,248
3 × 7 × 13 × 17 × 127 = 589,407
23 × 3 × 7 × 13 × 172 = 631,176
2 × 32 × 172 × 127 = 660,654
23 × 3 × 13 × 17 × 127 = 673,608
24 × 3 × 7 × 17 × 127 = 725,424
3 × 7 × 172 × 127 = 770,763
22 × 7 × 13 × 17 × 127 = 785,876
23 × 32 × 7 × 13 × 127 = 832,104
23 × 3 × 172 × 127 = 880,872
22 × 32 × 7 × 13 × 172 = 946,764
2 × 13 × 172 × 127 = 954,278
22 × 32 × 13 × 17 × 127 = 1,010,412
22 × 7 × 172 × 127 = 1,027,684
23 × 32 × 7 × 17 × 127 = 1,088,136
2 × 3 × 7 × 13 × 17 × 127 = 1,178,814
24 × 3 × 7 × 13 × 172 = 1,262,352
22 × 32 × 172 × 127 = 1,321,308
24 × 3 × 13 × 17 × 127 = 1,347,216
3 × 13 × 172 × 127 = 1,431,417
2 × 3 × 7 × 172 × 127 = 1,541,526
23 × 7 × 13 × 17 × 127 = 1,571,752
24 × 32 × 7 × 13 × 127 = 1,664,208
24 × 3 × 172 × 127 = 1,761,744
32 × 7 × 13 × 17 × 127 = 1,768,221
23 × 32 × 7 × 13 × 172 = 1,893,528
22 × 13 × 172 × 127 = 1,908,556
23 × 32 × 13 × 17 × 127 = 2,020,824
23 × 7 × 172 × 127 = 2,055,368
24 × 32 × 7 × 17 × 127 = 2,176,272
32 × 7 × 172 × 127 = 2,312,289
22 × 3 × 7 × 13 × 17 × 127 = 2,357,628
23 × 32 × 172 × 127 = 2,642,616
2 × 3 × 13 × 172 × 127 = 2,862,834
22 × 3 × 7 × 172 × 127 = 3,083,052
24 × 7 × 13 × 17 × 127 = 3,143,504
7 × 13 × 172 × 127 = 3,339,973
2 × 32 × 7 × 13 × 17 × 127 = 3,536,442
24 × 32 × 7 × 13 × 172 = 3,787,056
23 × 13 × 172 × 127 = 3,817,112
24 × 32 × 13 × 17 × 127 = 4,041,648
24 × 7 × 172 × 127 = 4,110,736
32 × 13 × 172 × 127 = 4,294,251
2 × 32 × 7 × 172 × 127 = 4,624,578
23 × 3 × 7 × 13 × 17 × 127 = 4,715,256
24 × 32 × 172 × 127 = 5,285,232
22 × 3 × 13 × 172 × 127 = 5,725,668
23 × 3 × 7 × 172 × 127 = 6,166,104
2 × 7 × 13 × 172 × 127 = 6,679,946
22 × 32 × 7 × 13 × 17 × 127 = 7,072,884
24 × 13 × 172 × 127 = 7,634,224
2 × 32 × 13 × 172 × 127 = 8,588,502
22 × 32 × 7 × 172 × 127 = 9,249,156
24 × 3 × 7 × 13 × 17 × 127 = 9,430,512
3 × 7 × 13 × 172 × 127 = 10,019,919
23 × 3 × 13 × 172 × 127 = 11,451,336
24 × 3 × 7 × 172 × 127 = 12,332,208
22 × 7 × 13 × 172 × 127 = 13,359,892
23 × 32 × 7 × 13 × 17 × 127 = 14,145,768
22 × 32 × 13 × 172 × 127 = 17,177,004
23 × 32 × 7 × 172 × 127 = 18,498,312
2 × 3 × 7 × 13 × 172 × 127 = 20,039,838
24 × 3 × 13 × 172 × 127 = 22,902,672
23 × 7 × 13 × 172 × 127 = 26,719,784
24 × 32 × 7 × 13 × 17 × 127 = 28,291,536
32 × 7 × 13 × 172 × 127 = 30,059,757
23 × 32 × 13 × 172 × 127 = 34,354,008
24 × 32 × 7 × 172 × 127 = 36,996,624
22 × 3 × 7 × 13 × 172 × 127 = 40,079,676
24 × 7 × 13 × 172 × 127 = 53,439,568
2 × 32 × 7 × 13 × 172 × 127 = 60,119,514
24 × 32 × 13 × 172 × 127 = 68,708,016
23 × 3 × 7 × 13 × 172 × 127 = 80,159,352
22 × 32 × 7 × 13 × 172 × 127 = 120,239,028
24 × 3 × 7 × 13 × 172 × 127 = 160,318,704
23 × 32 × 7 × 13 × 172 × 127 = 240,478,056
24 × 32 × 7 × 13 × 172 × 127 = 480,956,112

The final answer:
(scroll down)

480,956,112 has 360 factors (divisors):
1; 2; 3; 4; 6; 7; 8; 9; 12; 13; 14; 16; 17; 18; 21; 24; 26; 28; 34; 36; 39; 42; 48; 51; 52; 56; 63; 68; 72; 78; 84; 91; 102; 104; 112; 117; 119; 126; 127; 136; 144; 153; 156; 168; 182; 204; 208; 221; 234; 238; 252; 254; 272; 273; 289; 306; 312; 336; 357; 364; 381; 408; 442; 468; 476; 504; 508; 546; 578; 612; 624; 663; 714; 728; 762; 816; 819; 867; 884; 889; 936; 952; 1,008; 1,016; 1,071; 1,092; 1,143; 1,156; 1,224; 1,326; 1,428; 1,456; 1,524; 1,547; 1,638; 1,651; 1,734; 1,768; 1,778; 1,872; 1,904; 1,989; 2,023; 2,032; 2,142; 2,159; 2,184; 2,286; 2,312; 2,448; 2,601; 2,652; 2,667; 2,856; 3,048; 3,094; 3,276; 3,302; 3,468; 3,536; 3,556; 3,757; 3,978; 4,046; 4,284; 4,318; 4,368; 4,572; 4,624; 4,641; 4,953; 5,202; 5,304; 5,334; 5,712; 6,069; 6,096; 6,188; 6,477; 6,552; 6,604; 6,936; 7,112; 7,514; 7,956; 8,001; 8,092; 8,568; 8,636; 9,144; 9,282; 9,906; 10,404; 10,608; 10,668; 11,271; 11,557; 12,138; 12,376; 12,954; 13,104; 13,208; 13,872; 13,923; 14,224; 14,859; 15,028; 15,113; 15,912; 16,002; 16,184; 17,136; 17,272; 18,207; 18,288; 18,564; 19,431; 19,812; 20,808; 21,336; 22,542; 23,114; 24,276; 24,752; 25,908; 26,299; 26,416; 27,846; 28,067; 29,718; 30,056; 30,226; 31,824; 32,004; 32,368; 33,813; 34,544; 34,671; 36,414; 36,703; 37,128; 38,862; 39,624; 41,616; 42,672; 45,084; 45,339; 46,228; 48,552; 51,816; 52,598; 55,692; 56,134; 59,436; 60,112; 60,452; 64,008; 67,626; 69,342; 72,828; 73,406; 74,256; 77,724; 78,897; 79,248; 84,201; 90,168; 90,678; 92,456; 97,104; 103,632; 104,013; 105,196; 110,109; 111,384; 112,268; 118,872; 120,904; 128,016; 135,252; 136,017; 138,684; 145,656; 146,812; 155,448; 157,794; 168,402; 180,336; 181,356; 184,912; 196,469; 208,026; 210,392; 220,218; 222,768; 224,536; 236,691; 237,744; 241,808; 252,603; 256,921; 270,504; 272,034; 277,368; 291,312; 293,624; 310,896; 315,588; 330,327; 336,804; 362,712; 392,938; 416,052; 420,784; 440,436; 449,072; 473,382; 477,139; 505,206; 513,842; 541,008; 544,068; 554,736; 587,248; 589,407; 631,176; 660,654; 673,608; 725,424; 770,763; 785,876; 832,104; 880,872; 946,764; 954,278; 1,010,412; 1,027,684; 1,088,136; 1,178,814; 1,262,352; 1,321,308; 1,347,216; 1,431,417; 1,541,526; 1,571,752; 1,664,208; 1,761,744; 1,768,221; 1,893,528; 1,908,556; 2,020,824; 2,055,368; 2,176,272; 2,312,289; 2,357,628; 2,642,616; 2,862,834; 3,083,052; 3,143,504; 3,339,973; 3,536,442; 3,787,056; 3,817,112; 4,041,648; 4,110,736; 4,294,251; 4,624,578; 4,715,256; 5,285,232; 5,725,668; 6,166,104; 6,679,946; 7,072,884; 7,634,224; 8,588,502; 9,249,156; 9,430,512; 10,019,919; 11,451,336; 12,332,208; 13,359,892; 14,145,768; 17,177,004; 18,498,312; 20,039,838; 22,902,672; 26,719,784; 28,291,536; 30,059,757; 34,354,008; 36,996,624; 40,079,676; 53,439,568; 60,119,514; 68,708,016; 80,159,352; 120,239,028; 160,318,704; 240,478,056 and 480,956,112
out of which 6 prime factors: 2; 3; 7; 13; 17 and 127
480,956,112 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.


Other similar operations of calculating factors (divisors):

» What are all the proper, improper and prime factors (divisors) of the number 480,956,101?

» What are all the proper, improper and prime factors (divisors) of the number 480,956,115?


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.

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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".