What is the Greatest Common Factor of 52624 and 52639?

Greatest common factor (GCF) of 52624 and 52639 is 1.

GCF(52624,52639) = 1

We will now calculate the prime factors of 52624 and 52639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52624 and 52639.

How to find the GCF of 52624 and 52639?

We will first find the prime factorization of 52624 and 52639. After we will calculate the factors of 52624 and 52639 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 52639

Prime factors of 52639 are 52639. Prime factorization of 52639 in exponential form is:

52639 = 52639¹

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 52639

List of positive integer factors of 52639 that divides 52624 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52624 and 52639. The biggest common factor number is the GCF number.
So the greatest common factor 52624 and 52639 is 1.

Also check out the Least Common Multiple of 52624 and 52639