What is the Greatest Common Factor of 59564 and 59568?

Greatest common factor (GCF) of 59564 and 59568 is 4.

GCF(59564,59568) = 4

We will now calculate the prime factors of 59564 and 59568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59564 and 59568.

How to find the GCF of 59564 and 59568?

We will first find the prime factorization of 59564 and 59568. After we will calculate the factors of 59564 and 59568 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 59568

Prime factors of 59568 are 2, 3, 17, 73. Prime factorization of 59568 in exponential form is:

59568 = 2⁴ × 3¹ × 17¹ × 73¹

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 59568

List of positive integer factors of 59568 that divides 59564 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 73, 102, 136, 146, 204, 219, 272, 292, 408, 438, 584, 816, 876, 1168, 1241, 1752, 2482, 3504, 3723, 4964, 7446, 9928, 14892, 19856, 29784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59564 and 59568. The biggest common factor number is the GCF number.
So the greatest common factor 59564 and 59568 is 4.

Also check out the Least Common Multiple of 59564 and 59568