What is the Greatest Common Factor of 31564 and 31572?

Greatest common factor (GCF) of 31564 and 31572 is 4.

GCF(31564,31572) = 4

We will now calculate the prime factors of 31564 and 31572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31564 and 31572.

How to find the GCF of 31564 and 31572?

We will first find the prime factorization of 31564 and 31572. After we will calculate the factors of 31564 and 31572 and find the biggest common factor number .

Step-1: Prime Factorization of 31564

Prime factors of 31564 are 2, 13, 607. Prime factorization of 31564 in exponential form is:

31564 = 2² × 13¹ × 607¹

Step-2: Prime Factorization of 31572

Prime factors of 31572 are 2, 3, 877. Prime factorization of 31572 in exponential form is:

31572 = 2² × 3² × 877¹

Step-3: Factors of 31564

List of positive integer factors of 31564 that divides 31564 without a remainder.

1, 2, 4, 13, 26, 52, 607, 1214, 2428, 7891, 15782

Step-4: Factors of 31572

List of positive integer factors of 31572 that divides 31564 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 877, 1754, 2631, 3508, 5262, 7893, 10524, 15786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31564 and 31572. The biggest common factor number is the GCF number.
So the greatest common factor 31564 and 31572 is 4.

Also check out the Least Common Multiple of 31564 and 31572