What is the Greatest Common Factor of 52624 and 52637?

Greatest common factor (GCF) of 52624 and 52637 is 13.

GCF(52624,52637) = 13

We will now calculate the prime factors of 52624 and 52637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52624 and 52637.

How to find the GCF of 52624 and 52637?

We will first find the prime factorization of 52624 and 52637. After we will calculate the factors of 52624 and 52637 and find the biggest common factor number .

Step-1: Prime Factorization of 52624

Prime factors of 52624 are 2, 11, 13, 23. Prime factorization of 52624 in exponential form is:

52624 = 2⁴ × 11¹ × 13¹ × 23¹

Step-2: Prime Factorization of 52637

Prime factors of 52637 are 13, 4049. Prime factorization of 52637 in exponential form is:

52637 = 13¹ × 4049¹

Step-3: Factors of 52624

List of positive integer factors of 52624 that divides 52624 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 23, 26, 44, 46, 52, 88, 92, 104, 143, 176, 184, 208, 253, 286, 299, 368, 506, 572, 598, 1012, 1144, 1196, 2024, 2288, 2392, 3289, 4048, 4784, 6578, 13156, 26312

Step-4: Factors of 52637

List of positive integer factors of 52637 that divides 52624 without a remainder.

1, 13, 4049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52624 and 52637. The biggest common factor number is the GCF number.
So the greatest common factor 52624 and 52637 is 13.

Also check out the Least Common Multiple of 52624 and 52637