Common Factors of 162,593,760 and 0

The common factors (divisors) of the numbers 162,593,760 and 0?

The common factors of the numbers 162,593,760 and 0 are all the factors of their 'greatest common factor', 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 162,593,760 is the number itself.


⇒ gcf, hcf, gcd (162,593,760; 0) = 162,593,760




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.


162,593,760 = 25 × 3 × 5 × 72 × 31 × 223
162,593,760 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
22 × 3 = 12
2 × 7 = 14
3 × 5 = 15
24 = 16
22 × 5 = 20
3 × 7 = 21
23 × 3 = 24
22 × 7 = 28
2 × 3 × 5 = 30
prime factor = 31
25 = 32
5 × 7 = 35
23 × 5 = 40
2 × 3 × 7 = 42
24 × 3 = 48
72 = 49
23 × 7 = 56
22 × 3 × 5 = 60
2 × 31 = 62
2 × 5 × 7 = 70
24 × 5 = 80
22 × 3 × 7 = 84
3 × 31 = 93
25 × 3 = 96
2 × 72 = 98
3 × 5 × 7 = 105
24 × 7 = 112
23 × 3 × 5 = 120
22 × 31 = 124
22 × 5 × 7 = 140
3 × 72 = 147
5 × 31 = 155
25 × 5 = 160
23 × 3 × 7 = 168
2 × 3 × 31 = 186
22 × 72 = 196
2 × 3 × 5 × 7 = 210
7 × 31 = 217
prime factor = 223
25 × 7 = 224
24 × 3 × 5 = 240
5 × 72 = 245
23 × 31 = 248
23 × 5 × 7 = 280
2 × 3 × 72 = 294
2 × 5 × 31 = 310
24 × 3 × 7 = 336
22 × 3 × 31 = 372
23 × 72 = 392
22 × 3 × 5 × 7 = 420
2 × 7 × 31 = 434
2 × 223 = 446
3 × 5 × 31 = 465
25 × 3 × 5 = 480
2 × 5 × 72 = 490
24 × 31 = 496
24 × 5 × 7 = 560
22 × 3 × 72 = 588
22 × 5 × 31 = 620
3 × 7 × 31 = 651
3 × 223 = 669
25 × 3 × 7 = 672
3 × 5 × 72 = 735
23 × 3 × 31 = 744
24 × 72 = 784
23 × 3 × 5 × 7 = 840
22 × 7 × 31 = 868
22 × 223 = 892
2 × 3 × 5 × 31 = 930
22 × 5 × 72 = 980
25 × 31 = 992
5 × 7 × 31 = 1,085
5 × 223 = 1,115
25 × 5 × 7 = 1,120
23 × 3 × 72 = 1,176
23 × 5 × 31 = 1,240
2 × 3 × 7 × 31 = 1,302
2 × 3 × 223 = 1,338
2 × 3 × 5 × 72 = 1,470
24 × 3 × 31 = 1,488
72 × 31 = 1,519
7 × 223 = 1,561
25 × 72 = 1,568
24 × 3 × 5 × 7 = 1,680
23 × 7 × 31 = 1,736
23 × 223 = 1,784
22 × 3 × 5 × 31 = 1,860
23 × 5 × 72 = 1,960
2 × 5 × 7 × 31 = 2,170
2 × 5 × 223 = 2,230
24 × 3 × 72 = 2,352
24 × 5 × 31 = 2,480
22 × 3 × 7 × 31 = 2,604
22 × 3 × 223 = 2,676
22 × 3 × 5 × 72 = 2,940
25 × 3 × 31 = 2,976
2 × 72 × 31 = 3,038
2 × 7 × 223 = 3,122
3 × 5 × 7 × 31 = 3,255
3 × 5 × 223 = 3,345
25 × 3 × 5 × 7 = 3,360
24 × 7 × 31 = 3,472
24 × 223 = 3,568
23 × 3 × 5 × 31 = 3,720
24 × 5 × 72 = 3,920
22 × 5 × 7 × 31 = 4,340
22 × 5 × 223 = 4,460
3 × 72 × 31 = 4,557
3 × 7 × 223 = 4,683
25 × 3 × 72 = 4,704
25 × 5 × 31 = 4,960
23 × 3 × 7 × 31 = 5,208
23 × 3 × 223 = 5,352
23 × 3 × 5 × 72 = 5,880
22 × 72 × 31 = 6,076
22 × 7 × 223 = 6,244
2 × 3 × 5 × 7 × 31 = 6,510
2 × 3 × 5 × 223 = 6,690
31 × 223 = 6,913
25 × 7 × 31 = 6,944
25 × 223 = 7,136
24 × 3 × 5 × 31 = 7,440
5 × 72 × 31 = 7,595
5 × 7 × 223 = 7,805
25 × 5 × 72 = 7,840
23 × 5 × 7 × 31 = 8,680
23 × 5 × 223 = 8,920
2 × 3 × 72 × 31 = 9,114
2 × 3 × 7 × 223 = 9,366
24 × 3 × 7 × 31 = 10,416
24 × 3 × 223 = 10,704
72 × 223 = 10,927
24 × 3 × 5 × 72 = 11,760
23 × 72 × 31 = 12,152
23 × 7 × 223 = 12,488
This list continues below...

... This list continues from above
22 × 3 × 5 × 7 × 31 = 13,020
22 × 3 × 5 × 223 = 13,380
2 × 31 × 223 = 13,826
25 × 3 × 5 × 31 = 14,880
2 × 5 × 72 × 31 = 15,190
2 × 5 × 7 × 223 = 15,610
24 × 5 × 7 × 31 = 17,360
24 × 5 × 223 = 17,840
22 × 3 × 72 × 31 = 18,228
22 × 3 × 7 × 223 = 18,732
3 × 31 × 223 = 20,739
25 × 3 × 7 × 31 = 20,832
25 × 3 × 223 = 21,408
2 × 72 × 223 = 21,854
3 × 5 × 72 × 31 = 22,785
3 × 5 × 7 × 223 = 23,415
25 × 3 × 5 × 72 = 23,520
24 × 72 × 31 = 24,304
24 × 7 × 223 = 24,976
23 × 3 × 5 × 7 × 31 = 26,040
23 × 3 × 5 × 223 = 26,760
22 × 31 × 223 = 27,652
22 × 5 × 72 × 31 = 30,380
22 × 5 × 7 × 223 = 31,220
3 × 72 × 223 = 32,781
5 × 31 × 223 = 34,565
25 × 5 × 7 × 31 = 34,720
25 × 5 × 223 = 35,680
23 × 3 × 72 × 31 = 36,456
23 × 3 × 7 × 223 = 37,464
2 × 3 × 31 × 223 = 41,478
22 × 72 × 223 = 43,708
2 × 3 × 5 × 72 × 31 = 45,570
2 × 3 × 5 × 7 × 223 = 46,830
7 × 31 × 223 = 48,391
25 × 72 × 31 = 48,608
25 × 7 × 223 = 49,952
24 × 3 × 5 × 7 × 31 = 52,080
24 × 3 × 5 × 223 = 53,520
5 × 72 × 223 = 54,635
23 × 31 × 223 = 55,304
23 × 5 × 72 × 31 = 60,760
23 × 5 × 7 × 223 = 62,440
2 × 3 × 72 × 223 = 65,562
2 × 5 × 31 × 223 = 69,130
24 × 3 × 72 × 31 = 72,912
24 × 3 × 7 × 223 = 74,928
22 × 3 × 31 × 223 = 82,956
23 × 72 × 223 = 87,416
22 × 3 × 5 × 72 × 31 = 91,140
22 × 3 × 5 × 7 × 223 = 93,660
2 × 7 × 31 × 223 = 96,782
3 × 5 × 31 × 223 = 103,695
25 × 3 × 5 × 7 × 31 = 104,160
25 × 3 × 5 × 223 = 107,040
2 × 5 × 72 × 223 = 109,270
24 × 31 × 223 = 110,608
24 × 5 × 72 × 31 = 121,520
24 × 5 × 7 × 223 = 124,880
22 × 3 × 72 × 223 = 131,124
22 × 5 × 31 × 223 = 138,260
3 × 7 × 31 × 223 = 145,173
25 × 3 × 72 × 31 = 145,824
25 × 3 × 7 × 223 = 149,856
3 × 5 × 72 × 223 = 163,905
23 × 3 × 31 × 223 = 165,912
24 × 72 × 223 = 174,832
23 × 3 × 5 × 72 × 31 = 182,280
23 × 3 × 5 × 7 × 223 = 187,320
22 × 7 × 31 × 223 = 193,564
2 × 3 × 5 × 31 × 223 = 207,390
22 × 5 × 72 × 223 = 218,540
25 × 31 × 223 = 221,216
5 × 7 × 31 × 223 = 241,955
25 × 5 × 72 × 31 = 243,040
25 × 5 × 7 × 223 = 249,760
23 × 3 × 72 × 223 = 262,248
23 × 5 × 31 × 223 = 276,520
2 × 3 × 7 × 31 × 223 = 290,346
2 × 3 × 5 × 72 × 223 = 327,810
24 × 3 × 31 × 223 = 331,824
72 × 31 × 223 = 338,737
25 × 72 × 223 = 349,664
24 × 3 × 5 × 72 × 31 = 364,560
24 × 3 × 5 × 7 × 223 = 374,640
23 × 7 × 31 × 223 = 387,128
22 × 3 × 5 × 31 × 223 = 414,780
23 × 5 × 72 × 223 = 437,080
2 × 5 × 7 × 31 × 223 = 483,910
24 × 3 × 72 × 223 = 524,496
24 × 5 × 31 × 223 = 553,040
22 × 3 × 7 × 31 × 223 = 580,692
22 × 3 × 5 × 72 × 223 = 655,620
25 × 3 × 31 × 223 = 663,648
2 × 72 × 31 × 223 = 677,474
3 × 5 × 7 × 31 × 223 = 725,865
25 × 3 × 5 × 72 × 31 = 729,120
25 × 3 × 5 × 7 × 223 = 749,280
24 × 7 × 31 × 223 = 774,256
23 × 3 × 5 × 31 × 223 = 829,560
24 × 5 × 72 × 223 = 874,160
22 × 5 × 7 × 31 × 223 = 967,820
3 × 72 × 31 × 223 = 1,016,211
25 × 3 × 72 × 223 = 1,048,992
25 × 5 × 31 × 223 = 1,106,080
23 × 3 × 7 × 31 × 223 = 1,161,384
23 × 3 × 5 × 72 × 223 = 1,311,240
22 × 72 × 31 × 223 = 1,354,948
2 × 3 × 5 × 7 × 31 × 223 = 1,451,730
25 × 7 × 31 × 223 = 1,548,512
24 × 3 × 5 × 31 × 223 = 1,659,120
5 × 72 × 31 × 223 = 1,693,685
25 × 5 × 72 × 223 = 1,748,320
23 × 5 × 7 × 31 × 223 = 1,935,640
2 × 3 × 72 × 31 × 223 = 2,032,422
24 × 3 × 7 × 31 × 223 = 2,322,768
24 × 3 × 5 × 72 × 223 = 2,622,480
23 × 72 × 31 × 223 = 2,709,896
22 × 3 × 5 × 7 × 31 × 223 = 2,903,460
25 × 3 × 5 × 31 × 223 = 3,318,240
2 × 5 × 72 × 31 × 223 = 3,387,370
24 × 5 × 7 × 31 × 223 = 3,871,280
22 × 3 × 72 × 31 × 223 = 4,064,844
25 × 3 × 7 × 31 × 223 = 4,645,536
3 × 5 × 72 × 31 × 223 = 5,081,055
25 × 3 × 5 × 72 × 223 = 5,244,960
24 × 72 × 31 × 223 = 5,419,792
23 × 3 × 5 × 7 × 31 × 223 = 5,806,920
22 × 5 × 72 × 31 × 223 = 6,774,740
25 × 5 × 7 × 31 × 223 = 7,742,560
23 × 3 × 72 × 31 × 223 = 8,129,688
2 × 3 × 5 × 72 × 31 × 223 = 10,162,110
25 × 72 × 31 × 223 = 10,839,584
24 × 3 × 5 × 7 × 31 × 223 = 11,613,840
23 × 5 × 72 × 31 × 223 = 13,549,480
24 × 3 × 72 × 31 × 223 = 16,259,376
22 × 3 × 5 × 72 × 31 × 223 = 20,324,220
25 × 3 × 5 × 7 × 31 × 223 = 23,227,680
24 × 5 × 72 × 31 × 223 = 27,098,960
25 × 3 × 72 × 31 × 223 = 32,518,752
23 × 3 × 5 × 72 × 31 × 223 = 40,648,440
25 × 5 × 72 × 31 × 223 = 54,197,920
24 × 3 × 5 × 72 × 31 × 223 = 81,296,880
25 × 3 × 5 × 72 × 31 × 223 = 162,593,760

162,593,760 and 0 have 288 common factors (divisors):
1; 2; 3; 4; 5; 6; 7; 8; 10; 12; 14; 15; 16; 20; 21; 24; 28; 30; 31; 32; 35; 40; 42; 48; 49; 56; 60; 62; 70; 80; 84; 93; 96; 98; 105; 112; 120; 124; 140; 147; 155; 160; 168; 186; 196; 210; 217; 223; 224; 240; 245; 248; 280; 294; 310; 336; 372; 392; 420; 434; 446; 465; 480; 490; 496; 560; 588; 620; 651; 669; 672; 735; 744; 784; 840; 868; 892; 930; 980; 992; 1,085; 1,115; 1,120; 1,176; 1,240; 1,302; 1,338; 1,470; 1,488; 1,519; 1,561; 1,568; 1,680; 1,736; 1,784; 1,860; 1,960; 2,170; 2,230; 2,352; 2,480; 2,604; 2,676; 2,940; 2,976; 3,038; 3,122; 3,255; 3,345; 3,360; 3,472; 3,568; 3,720; 3,920; 4,340; 4,460; 4,557; 4,683; 4,704; 4,960; 5,208; 5,352; 5,880; 6,076; 6,244; 6,510; 6,690; 6,913; 6,944; 7,136; 7,440; 7,595; 7,805; 7,840; 8,680; 8,920; 9,114; 9,366; 10,416; 10,704; 10,927; 11,760; 12,152; 12,488; 13,020; 13,380; 13,826; 14,880; 15,190; 15,610; 17,360; 17,840; 18,228; 18,732; 20,739; 20,832; 21,408; 21,854; 22,785; 23,415; 23,520; 24,304; 24,976; 26,040; 26,760; 27,652; 30,380; 31,220; 32,781; 34,565; 34,720; 35,680; 36,456; 37,464; 41,478; 43,708; 45,570; 46,830; 48,391; 48,608; 49,952; 52,080; 53,520; 54,635; 55,304; 60,760; 62,440; 65,562; 69,130; 72,912; 74,928; 82,956; 87,416; 91,140; 93,660; 96,782; 103,695; 104,160; 107,040; 109,270; 110,608; 121,520; 124,880; 131,124; 138,260; 145,173; 145,824; 149,856; 163,905; 165,912; 174,832; 182,280; 187,320; 193,564; 207,390; 218,540; 221,216; 241,955; 243,040; 249,760; 262,248; 276,520; 290,346; 327,810; 331,824; 338,737; 349,664; 364,560; 374,640; 387,128; 414,780; 437,080; 483,910; 524,496; 553,040; 580,692; 655,620; 663,648; 677,474; 725,865; 729,120; 749,280; 774,256; 829,560; 874,160; 967,820; 1,016,211; 1,048,992; 1,106,080; 1,161,384; 1,311,240; 1,354,948; 1,451,730; 1,548,512; 1,659,120; 1,693,685; 1,748,320; 1,935,640; 2,032,422; 2,322,768; 2,622,480; 2,709,896; 2,903,460; 3,318,240; 3,387,370; 3,871,280; 4,064,844; 4,645,536; 5,081,055; 5,244,960; 5,419,792; 5,806,920; 6,774,740; 7,742,560; 8,129,688; 10,162,110; 10,839,584; 11,613,840; 13,549,480; 16,259,376; 20,324,220; 23,227,680; 27,098,960; 32,518,752; 40,648,440; 54,197,920; 81,296,880 and 162,593,760
out of which 6 prime factors: 2; 3; 5; 7; 31 and 223

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".