What is the Greatest Common Factor of 59564 and 59572?

Greatest common factor (GCF) of 59564 and 59572 is 4.

GCF(59564,59572) = 4

We will now calculate the prime factors of 59564 and 59572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59564 and 59572.

How to find the GCF of 59564 and 59572?

We will first find the prime factorization of 59564 and 59572. After we will calculate the factors of 59564 and 59572 and find the biggest common factor number .

Step-1: Prime Factorization of 59564

Prime factors of 59564 are 2, 14891. Prime factorization of 59564 in exponential form is:

59564 = 2² × 14891¹

Step-2: Prime Factorization of 59572

Prime factors of 59572 are 2, 53, 281. Prime factorization of 59572 in exponential form is:

59572 = 2² × 53¹ × 281¹

Step-3: Factors of 59564

List of positive integer factors of 59564 that divides 59564 without a remainder.

1, 2, 4, 14891, 29782

Step-4: Factors of 59572

List of positive integer factors of 59572 that divides 59564 without a remainder.

1, 2, 4, 53, 106, 212, 281, 562, 1124, 14893, 29786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59564 and 59572. The biggest common factor number is the GCF number.
So the greatest common factor 59564 and 59572 is 4.

Also check out the Least Common Multiple of 59564 and 59572