What is the Greatest Common Factor of 52624 and 52629?

Greatest common factor (GCF) of 52624 and 52629 is 1.

GCF(52624,52629) = 1

We will now calculate the prime factors of 52624 and 52629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52624 and 52629.

How to find the GCF of 52624 and 52629?

We will first find the prime factorization of 52624 and 52629. After we will calculate the factors of 52624 and 52629 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 52629

Prime factors of 52629 are 3, 53, 331. Prime factorization of 52629 in exponential form is:

52629 = 3¹ × 53¹ × 331¹

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 52629

List of positive integer factors of 52629 that divides 52624 without a remainder.

1, 3, 53, 159, 331, 993, 17543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52624 and 52629. The biggest common factor number is the GCF number.
So the greatest common factor 52624 and 52629 is 1.

Also check out the Least Common Multiple of 52624 and 52629