985,920 and 0: Calculate all the common factors (divisors) of the two numbers (and the prime factors)

The common factors (divisors) of the numbers 985,920 and 0

The common factors (divisors) of the numbers 985,920 and 0 are all the factors of their 'greatest (highest) common factor (divisor)'.

Remember

A factor (divisor) of a natural number A is a natural number B which when multiplied by another natural number C equals the given number A. Both B and C are factors of A and they both evenly divide A ( = without a remainder).



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

gcf, hcf, gcd (0; n1) = n1, where n1 is a natural number.


gcf, hcf, gcd (985,920; 0) = 985,920


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




The prime factorization of the greatest (highest) common factor (divisor):

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


985,920 = 26 × 3 × 5 × 13 × 79
985,920 is not a prime number but a composite one.


* The natural numbers that are only divisible by 1 and themselves are called prime numbers. A prime number has exactly two factors: 1 and itself.
* A composite number is a natural number that has at least one other factor than 1 and itself.




Find all the factors (divisors) of the greatest (highest) common factor (divisor), gcf, hcf, gcd

985,920 = 26 × 3 × 5 × 13 × 79


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
23 = 8
2 × 5 = 10
22 × 3 = 12
prime factor = 13
3 × 5 = 15
24 = 16
22 × 5 = 20
23 × 3 = 24
2 × 13 = 26
2 × 3 × 5 = 30
25 = 32
3 × 13 = 39
23 × 5 = 40
24 × 3 = 48
22 × 13 = 52
22 × 3 × 5 = 60
26 = 64
5 × 13 = 65
2 × 3 × 13 = 78
prime factor = 79
24 × 5 = 80
25 × 3 = 96
23 × 13 = 104
23 × 3 × 5 = 120
2 × 5 × 13 = 130
22 × 3 × 13 = 156
2 × 79 = 158
25 × 5 = 160
26 × 3 = 192
3 × 5 × 13 = 195
24 × 13 = 208
3 × 79 = 237
24 × 3 × 5 = 240
22 × 5 × 13 = 260
23 × 3 × 13 = 312
22 × 79 = 316
26 × 5 = 320
2 × 3 × 5 × 13 = 390
5 × 79 = 395
25 × 13 = 416
2 × 3 × 79 = 474
25 × 3 × 5 = 480
23 × 5 × 13 = 520
24 × 3 × 13 = 624
23 × 79 = 632
22 × 3 × 5 × 13 = 780
2 × 5 × 79 = 790
26 × 13 = 832
22 × 3 × 79 = 948
26 × 3 × 5 = 960
This list continues below...

... This list continues from above
13 × 79 = 1,027
24 × 5 × 13 = 1,040
3 × 5 × 79 = 1,185
25 × 3 × 13 = 1,248
24 × 79 = 1,264
23 × 3 × 5 × 13 = 1,560
22 × 5 × 79 = 1,580
23 × 3 × 79 = 1,896
2 × 13 × 79 = 2,054
25 × 5 × 13 = 2,080
2 × 3 × 5 × 79 = 2,370
26 × 3 × 13 = 2,496
25 × 79 = 2,528
3 × 13 × 79 = 3,081
24 × 3 × 5 × 13 = 3,120
23 × 5 × 79 = 3,160
24 × 3 × 79 = 3,792
22 × 13 × 79 = 4,108
26 × 5 × 13 = 4,160
22 × 3 × 5 × 79 = 4,740
26 × 79 = 5,056
5 × 13 × 79 = 5,135
2 × 3 × 13 × 79 = 6,162
25 × 3 × 5 × 13 = 6,240
24 × 5 × 79 = 6,320
25 × 3 × 79 = 7,584
23 × 13 × 79 = 8,216
23 × 3 × 5 × 79 = 9,480
2 × 5 × 13 × 79 = 10,270
22 × 3 × 13 × 79 = 12,324
26 × 3 × 5 × 13 = 12,480
25 × 5 × 79 = 12,640
26 × 3 × 79 = 15,168
3 × 5 × 13 × 79 = 15,405
24 × 13 × 79 = 16,432
24 × 3 × 5 × 79 = 18,960
22 × 5 × 13 × 79 = 20,540
23 × 3 × 13 × 79 = 24,648
26 × 5 × 79 = 25,280
2 × 3 × 5 × 13 × 79 = 30,810
25 × 13 × 79 = 32,864
25 × 3 × 5 × 79 = 37,920
23 × 5 × 13 × 79 = 41,080
24 × 3 × 13 × 79 = 49,296
22 × 3 × 5 × 13 × 79 = 61,620
26 × 13 × 79 = 65,728
26 × 3 × 5 × 79 = 75,840
24 × 5 × 13 × 79 = 82,160
25 × 3 × 13 × 79 = 98,592
23 × 3 × 5 × 13 × 79 = 123,240
25 × 5 × 13 × 79 = 164,320
26 × 3 × 13 × 79 = 197,184
24 × 3 × 5 × 13 × 79 = 246,480
26 × 5 × 13 × 79 = 328,640
25 × 3 × 5 × 13 × 79 = 492,960
26 × 3 × 5 × 13 × 79 = 985,920

The final answer:
(scroll down)

985,920 and 0 have 112 common factors (divisors):
1; 2; 3; 4; 5; 6; 8; 10; 12; 13; 15; 16; 20; 24; 26; 30; 32; 39; 40; 48; 52; 60; 64; 65; 78; 79; 80; 96; 104; 120; 130; 156; 158; 160; 192; 195; 208; 237; 240; 260; 312; 316; 320; 390; 395; 416; 474; 480; 520; 624; 632; 780; 790; 832; 948; 960; 1,027; 1,040; 1,185; 1,248; 1,264; 1,560; 1,580; 1,896; 2,054; 2,080; 2,370; 2,496; 2,528; 3,081; 3,120; 3,160; 3,792; 4,108; 4,160; 4,740; 5,056; 5,135; 6,162; 6,240; 6,320; 7,584; 8,216; 9,480; 10,270; 12,324; 12,480; 12,640; 15,168; 15,405; 16,432; 18,960; 20,540; 24,648; 25,280; 30,810; 32,864; 37,920; 41,080; 49,296; 61,620; 65,728; 75,840; 82,160; 98,592; 123,240; 164,320; 197,184; 246,480; 328,640; 492,960 and 985,920
out of which 5 prime factors: 2; 3; 5; 13 and 79

A quick way to find the factors (the divisors) of a number is to first have its prime factorization.


Then multiply the prime factors in all the possible combinations that lead to different results and also take into account their exponents, if any.


The latest 5 sets of calculated factors (divisors): of one number or the common factors of two numbers

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.

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


What is a prime number? Definition, examples

What is a composite number? Definition, examples

The prime numbers up to 1,000

The prime numbers up to 10,000

The Sieve of Eratosthenes

The Euclidean Algorithm

Completely reduce (simplify) fractions to the lowest terms: Steps and Examples