Given the Numbers 55,680,240 and 0, Calculate (Find) All the Common Factors (All the Divisors) of the Two Numbers (and the Prime Factors)

The common factors (divisors) of the numbers 55,680,240 and 0

The common factors (divisors) of the numbers 55,680,240 and 0 are all the factors of their 'greatest (highest) common factor (divisor)', gcf.

Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd:

Zero is divisible by any number other than zero (there is no remainder when dividing zero by these numbers).

The greatest factor (divisor) of the number 55,680,240 is the number itself.


⇒ gcf, hcf, gcd (55,680,240; 0) = 55,680,240




To find all the factors (all the divisors) of the 'gcf', we need its prime factorization (to decompose it into prime factors).

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


55,680,240 = 24 × 3 × 5 × 7 × 11 × 23 × 131
55,680,240 is not a prime number but a composite one.



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



Multiply the prime factors of the 'gcf':

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


Also consider the exponents of the prime factors (example: 32 = 3 × 3 = 9).


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
2 × 5 = 10
prime factor = 11
22 × 3 = 12
2 × 7 = 14
3 × 5 = 15
24 = 16
22 × 5 = 20
3 × 7 = 21
2 × 11 = 22
prime factor = 23
23 × 3 = 24
22 × 7 = 28
2 × 3 × 5 = 30
3 × 11 = 33
5 × 7 = 35
23 × 5 = 40
2 × 3 × 7 = 42
22 × 11 = 44
2 × 23 = 46
24 × 3 = 48
5 × 11 = 55
23 × 7 = 56
22 × 3 × 5 = 60
2 × 3 × 11 = 66
3 × 23 = 69
2 × 5 × 7 = 70
7 × 11 = 77
24 × 5 = 80
22 × 3 × 7 = 84
23 × 11 = 88
22 × 23 = 92
3 × 5 × 7 = 105
2 × 5 × 11 = 110
24 × 7 = 112
5 × 23 = 115
23 × 3 × 5 = 120
prime factor = 131
22 × 3 × 11 = 132
2 × 3 × 23 = 138
22 × 5 × 7 = 140
2 × 7 × 11 = 154
7 × 23 = 161
3 × 5 × 11 = 165
23 × 3 × 7 = 168
24 × 11 = 176
23 × 23 = 184
2 × 3 × 5 × 7 = 210
22 × 5 × 11 = 220
2 × 5 × 23 = 230
3 × 7 × 11 = 231
24 × 3 × 5 = 240
11 × 23 = 253
2 × 131 = 262
23 × 3 × 11 = 264
22 × 3 × 23 = 276
23 × 5 × 7 = 280
22 × 7 × 11 = 308
2 × 7 × 23 = 322
2 × 3 × 5 × 11 = 330
24 × 3 × 7 = 336
3 × 5 × 23 = 345
24 × 23 = 368
5 × 7 × 11 = 385
3 × 131 = 393
22 × 3 × 5 × 7 = 420
23 × 5 × 11 = 440
22 × 5 × 23 = 460
2 × 3 × 7 × 11 = 462
3 × 7 × 23 = 483
2 × 11 × 23 = 506
22 × 131 = 524
24 × 3 × 11 = 528
23 × 3 × 23 = 552
24 × 5 × 7 = 560
23 × 7 × 11 = 616
22 × 7 × 23 = 644
5 × 131 = 655
22 × 3 × 5 × 11 = 660
2 × 3 × 5 × 23 = 690
3 × 11 × 23 = 759
2 × 5 × 7 × 11 = 770
2 × 3 × 131 = 786
5 × 7 × 23 = 805
23 × 3 × 5 × 7 = 840
24 × 5 × 11 = 880
7 × 131 = 917
23 × 5 × 23 = 920
22 × 3 × 7 × 11 = 924
2 × 3 × 7 × 23 = 966
22 × 11 × 23 = 1,012
23 × 131 = 1,048
24 × 3 × 23 = 1,104
3 × 5 × 7 × 11 = 1,155
24 × 7 × 11 = 1,232
5 × 11 × 23 = 1,265
23 × 7 × 23 = 1,288
2 × 5 × 131 = 1,310
23 × 3 × 5 × 11 = 1,320
22 × 3 × 5 × 23 = 1,380
11 × 131 = 1,441
2 × 3 × 11 × 23 = 1,518
22 × 5 × 7 × 11 = 1,540
22 × 3 × 131 = 1,572
2 × 5 × 7 × 23 = 1,610
24 × 3 × 5 × 7 = 1,680
7 × 11 × 23 = 1,771
2 × 7 × 131 = 1,834
24 × 5 × 23 = 1,840
23 × 3 × 7 × 11 = 1,848
22 × 3 × 7 × 23 = 1,932
3 × 5 × 131 = 1,965
23 × 11 × 23 = 2,024
24 × 131 = 2,096
2 × 3 × 5 × 7 × 11 = 2,310
3 × 5 × 7 × 23 = 2,415
2 × 5 × 11 × 23 = 2,530
24 × 7 × 23 = 2,576
22 × 5 × 131 = 2,620
24 × 3 × 5 × 11 = 2,640
3 × 7 × 131 = 2,751
23 × 3 × 5 × 23 = 2,760
2 × 11 × 131 = 2,882
23 × 131 = 3,013
22 × 3 × 11 × 23 = 3,036
23 × 5 × 7 × 11 = 3,080
23 × 3 × 131 = 3,144
22 × 5 × 7 × 23 = 3,220
2 × 7 × 11 × 23 = 3,542
22 × 7 × 131 = 3,668
24 × 3 × 7 × 11 = 3,696
3 × 5 × 11 × 23 = 3,795
23 × 3 × 7 × 23 = 3,864
2 × 3 × 5 × 131 = 3,930
24 × 11 × 23 = 4,048
3 × 11 × 131 = 4,323
5 × 7 × 131 = 4,585
22 × 3 × 5 × 7 × 11 = 4,620
2 × 3 × 5 × 7 × 23 = 4,830
22 × 5 × 11 × 23 = 5,060
23 × 5 × 131 = 5,240
3 × 7 × 11 × 23 = 5,313
2 × 3 × 7 × 131 = 5,502
24 × 3 × 5 × 23 = 5,520
22 × 11 × 131 = 5,764
2 × 23 × 131 = 6,026
23 × 3 × 11 × 23 = 6,072
24 × 5 × 7 × 11 = 6,160
24 × 3 × 131 = 6,288
23 × 5 × 7 × 23 = 6,440
22 × 7 × 11 × 23 = 7,084
5 × 11 × 131 = 7,205
23 × 7 × 131 = 7,336
This list continues below...

... This list continues from above
2 × 3 × 5 × 11 × 23 = 7,590
24 × 3 × 7 × 23 = 7,728
22 × 3 × 5 × 131 = 7,860
2 × 3 × 11 × 131 = 8,646
5 × 7 × 11 × 23 = 8,855
3 × 23 × 131 = 9,039
2 × 5 × 7 × 131 = 9,170
23 × 3 × 5 × 7 × 11 = 9,240
22 × 3 × 5 × 7 × 23 = 9,660
7 × 11 × 131 = 10,087
23 × 5 × 11 × 23 = 10,120
24 × 5 × 131 = 10,480
2 × 3 × 7 × 11 × 23 = 10,626
22 × 3 × 7 × 131 = 11,004
23 × 11 × 131 = 11,528
22 × 23 × 131 = 12,052
24 × 3 × 11 × 23 = 12,144
24 × 5 × 7 × 23 = 12,880
3 × 5 × 7 × 131 = 13,755
23 × 7 × 11 × 23 = 14,168
2 × 5 × 11 × 131 = 14,410
24 × 7 × 131 = 14,672
5 × 23 × 131 = 15,065
22 × 3 × 5 × 11 × 23 = 15,180
23 × 3 × 5 × 131 = 15,720
22 × 3 × 11 × 131 = 17,292
2 × 5 × 7 × 11 × 23 = 17,710
2 × 3 × 23 × 131 = 18,078
22 × 5 × 7 × 131 = 18,340
24 × 3 × 5 × 7 × 11 = 18,480
23 × 3 × 5 × 7 × 23 = 19,320
2 × 7 × 11 × 131 = 20,174
24 × 5 × 11 × 23 = 20,240
7 × 23 × 131 = 21,091
22 × 3 × 7 × 11 × 23 = 21,252
3 × 5 × 11 × 131 = 21,615
23 × 3 × 7 × 131 = 22,008
24 × 11 × 131 = 23,056
23 × 23 × 131 = 24,104
3 × 5 × 7 × 11 × 23 = 26,565
2 × 3 × 5 × 7 × 131 = 27,510
24 × 7 × 11 × 23 = 28,336
22 × 5 × 11 × 131 = 28,820
2 × 5 × 23 × 131 = 30,130
3 × 7 × 11 × 131 = 30,261
23 × 3 × 5 × 11 × 23 = 30,360
24 × 3 × 5 × 131 = 31,440
11 × 23 × 131 = 33,143
23 × 3 × 11 × 131 = 34,584
22 × 5 × 7 × 11 × 23 = 35,420
22 × 3 × 23 × 131 = 36,156
23 × 5 × 7 × 131 = 36,680
24 × 3 × 5 × 7 × 23 = 38,640
22 × 7 × 11 × 131 = 40,348
2 × 7 × 23 × 131 = 42,182
23 × 3 × 7 × 11 × 23 = 42,504
2 × 3 × 5 × 11 × 131 = 43,230
24 × 3 × 7 × 131 = 44,016
3 × 5 × 23 × 131 = 45,195
24 × 23 × 131 = 48,208
5 × 7 × 11 × 131 = 50,435
2 × 3 × 5 × 7 × 11 × 23 = 53,130
22 × 3 × 5 × 7 × 131 = 55,020
23 × 5 × 11 × 131 = 57,640
22 × 5 × 23 × 131 = 60,260
2 × 3 × 7 × 11 × 131 = 60,522
24 × 3 × 5 × 11 × 23 = 60,720
3 × 7 × 23 × 131 = 63,273
2 × 11 × 23 × 131 = 66,286
24 × 3 × 11 × 131 = 69,168
23 × 5 × 7 × 11 × 23 = 70,840
23 × 3 × 23 × 131 = 72,312
24 × 5 × 7 × 131 = 73,360
23 × 7 × 11 × 131 = 80,696
22 × 7 × 23 × 131 = 84,364
24 × 3 × 7 × 11 × 23 = 85,008
22 × 3 × 5 × 11 × 131 = 86,460
2 × 3 × 5 × 23 × 131 = 90,390
3 × 11 × 23 × 131 = 99,429
2 × 5 × 7 × 11 × 131 = 100,870
5 × 7 × 23 × 131 = 105,455
22 × 3 × 5 × 7 × 11 × 23 = 106,260
23 × 3 × 5 × 7 × 131 = 110,040
24 × 5 × 11 × 131 = 115,280
23 × 5 × 23 × 131 = 120,520
22 × 3 × 7 × 11 × 131 = 121,044
2 × 3 × 7 × 23 × 131 = 126,546
22 × 11 × 23 × 131 = 132,572
24 × 5 × 7 × 11 × 23 = 141,680
24 × 3 × 23 × 131 = 144,624
3 × 5 × 7 × 11 × 131 = 151,305
24 × 7 × 11 × 131 = 161,392
5 × 11 × 23 × 131 = 165,715
23 × 7 × 23 × 131 = 168,728
23 × 3 × 5 × 11 × 131 = 172,920
22 × 3 × 5 × 23 × 131 = 180,780
2 × 3 × 11 × 23 × 131 = 198,858
22 × 5 × 7 × 11 × 131 = 201,740
2 × 5 × 7 × 23 × 131 = 210,910
23 × 3 × 5 × 7 × 11 × 23 = 212,520
24 × 3 × 5 × 7 × 131 = 220,080
7 × 11 × 23 × 131 = 232,001
24 × 5 × 23 × 131 = 241,040
23 × 3 × 7 × 11 × 131 = 242,088
22 × 3 × 7 × 23 × 131 = 253,092
23 × 11 × 23 × 131 = 265,144
2 × 3 × 5 × 7 × 11 × 131 = 302,610
3 × 5 × 7 × 23 × 131 = 316,365
2 × 5 × 11 × 23 × 131 = 331,430
24 × 7 × 23 × 131 = 337,456
24 × 3 × 5 × 11 × 131 = 345,840
23 × 3 × 5 × 23 × 131 = 361,560
22 × 3 × 11 × 23 × 131 = 397,716
23 × 5 × 7 × 11 × 131 = 403,480
22 × 5 × 7 × 23 × 131 = 421,820
24 × 3 × 5 × 7 × 11 × 23 = 425,040
2 × 7 × 11 × 23 × 131 = 464,002
24 × 3 × 7 × 11 × 131 = 484,176
3 × 5 × 11 × 23 × 131 = 497,145
23 × 3 × 7 × 23 × 131 = 506,184
24 × 11 × 23 × 131 = 530,288
22 × 3 × 5 × 7 × 11 × 131 = 605,220
2 × 3 × 5 × 7 × 23 × 131 = 632,730
22 × 5 × 11 × 23 × 131 = 662,860
3 × 7 × 11 × 23 × 131 = 696,003
24 × 3 × 5 × 23 × 131 = 723,120
23 × 3 × 11 × 23 × 131 = 795,432
24 × 5 × 7 × 11 × 131 = 806,960
23 × 5 × 7 × 23 × 131 = 843,640
22 × 7 × 11 × 23 × 131 = 928,004
2 × 3 × 5 × 11 × 23 × 131 = 994,290
24 × 3 × 7 × 23 × 131 = 1,012,368
5 × 7 × 11 × 23 × 131 = 1,160,005
23 × 3 × 5 × 7 × 11 × 131 = 1,210,440
22 × 3 × 5 × 7 × 23 × 131 = 1,265,460
23 × 5 × 11 × 23 × 131 = 1,325,720
2 × 3 × 7 × 11 × 23 × 131 = 1,392,006
24 × 3 × 11 × 23 × 131 = 1,590,864
24 × 5 × 7 × 23 × 131 = 1,687,280
23 × 7 × 11 × 23 × 131 = 1,856,008
22 × 3 × 5 × 11 × 23 × 131 = 1,988,580
2 × 5 × 7 × 11 × 23 × 131 = 2,320,010
24 × 3 × 5 × 7 × 11 × 131 = 2,420,880
23 × 3 × 5 × 7 × 23 × 131 = 2,530,920
24 × 5 × 11 × 23 × 131 = 2,651,440
22 × 3 × 7 × 11 × 23 × 131 = 2,784,012
3 × 5 × 7 × 11 × 23 × 131 = 3,480,015
24 × 7 × 11 × 23 × 131 = 3,712,016
23 × 3 × 5 × 11 × 23 × 131 = 3,977,160
22 × 5 × 7 × 11 × 23 × 131 = 4,640,020
24 × 3 × 5 × 7 × 23 × 131 = 5,061,840
23 × 3 × 7 × 11 × 23 × 131 = 5,568,024
2 × 3 × 5 × 7 × 11 × 23 × 131 = 6,960,030
24 × 3 × 5 × 11 × 23 × 131 = 7,954,320
23 × 5 × 7 × 11 × 23 × 131 = 9,280,040
24 × 3 × 7 × 11 × 23 × 131 = 11,136,048
22 × 3 × 5 × 7 × 11 × 23 × 131 = 13,920,060
24 × 5 × 7 × 11 × 23 × 131 = 18,560,080
23 × 3 × 5 × 7 × 11 × 23 × 131 = 27,840,120
24 × 3 × 5 × 7 × 11 × 23 × 131 = 55,680,240

55,680,240 and 0 have 320 common factors (divisors):
1; 2; 3; 4; 5; 6; 7; 8; 10; 11; 12; 14; 15; 16; 20; 21; 22; 23; 24; 28; 30; 33; 35; 40; 42; 44; 46; 48; 55; 56; 60; 66; 69; 70; 77; 80; 84; 88; 92; 105; 110; 112; 115; 120; 131; 132; 138; 140; 154; 161; 165; 168; 176; 184; 210; 220; 230; 231; 240; 253; 262; 264; 276; 280; 308; 322; 330; 336; 345; 368; 385; 393; 420; 440; 460; 462; 483; 506; 524; 528; 552; 560; 616; 644; 655; 660; 690; 759; 770; 786; 805; 840; 880; 917; 920; 924; 966; 1,012; 1,048; 1,104; 1,155; 1,232; 1,265; 1,288; 1,310; 1,320; 1,380; 1,441; 1,518; 1,540; 1,572; 1,610; 1,680; 1,771; 1,834; 1,840; 1,848; 1,932; 1,965; 2,024; 2,096; 2,310; 2,415; 2,530; 2,576; 2,620; 2,640; 2,751; 2,760; 2,882; 3,013; 3,036; 3,080; 3,144; 3,220; 3,542; 3,668; 3,696; 3,795; 3,864; 3,930; 4,048; 4,323; 4,585; 4,620; 4,830; 5,060; 5,240; 5,313; 5,502; 5,520; 5,764; 6,026; 6,072; 6,160; 6,288; 6,440; 7,084; 7,205; 7,336; 7,590; 7,728; 7,860; 8,646; 8,855; 9,039; 9,170; 9,240; 9,660; 10,087; 10,120; 10,480; 10,626; 11,004; 11,528; 12,052; 12,144; 12,880; 13,755; 14,168; 14,410; 14,672; 15,065; 15,180; 15,720; 17,292; 17,710; 18,078; 18,340; 18,480; 19,320; 20,174; 20,240; 21,091; 21,252; 21,615; 22,008; 23,056; 24,104; 26,565; 27,510; 28,336; 28,820; 30,130; 30,261; 30,360; 31,440; 33,143; 34,584; 35,420; 36,156; 36,680; 38,640; 40,348; 42,182; 42,504; 43,230; 44,016; 45,195; 48,208; 50,435; 53,130; 55,020; 57,640; 60,260; 60,522; 60,720; 63,273; 66,286; 69,168; 70,840; 72,312; 73,360; 80,696; 84,364; 85,008; 86,460; 90,390; 99,429; 100,870; 105,455; 106,260; 110,040; 115,280; 120,520; 121,044; 126,546; 132,572; 141,680; 144,624; 151,305; 161,392; 165,715; 168,728; 172,920; 180,780; 198,858; 201,740; 210,910; 212,520; 220,080; 232,001; 241,040; 242,088; 253,092; 265,144; 302,610; 316,365; 331,430; 337,456; 345,840; 361,560; 397,716; 403,480; 421,820; 425,040; 464,002; 484,176; 497,145; 506,184; 530,288; 605,220; 632,730; 662,860; 696,003; 723,120; 795,432; 806,960; 843,640; 928,004; 994,290; 1,012,368; 1,160,005; 1,210,440; 1,265,460; 1,325,720; 1,392,006; 1,590,864; 1,687,280; 1,856,008; 1,988,580; 2,320,010; 2,420,880; 2,530,920; 2,651,440; 2,784,012; 3,480,015; 3,712,016; 3,977,160; 4,640,020; 5,061,840; 5,568,024; 6,960,030; 7,954,320; 9,280,040; 11,136,048; 13,920,060; 18,560,080; 27,840,120 and 55,680,240
out of which 7 prime factors: 2; 3; 5; 7; 11; 23 and 131

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

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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".