What is the Greatest Common Factor of 52609 and 52624?

Greatest common factor (GCF) of 52609 and 52624 is 1.

GCF(52609,52624) = 1

We will now calculate the prime factors of 52609 and 52624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52609 and 52624.

How to find the GCF of 52609 and 52624?

We will first find the prime factorization of 52609 and 52624. After we will calculate the factors of 52609 and 52624 and find the biggest common factor number .

Step-1: Prime Factorization of 52609

Prime factors of 52609 are 52609. Prime factorization of 52609 in exponential form is:

52609 = 52609¹

Step-2: 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-3: Factors of 52609

List of positive integer factors of 52609 that divides 52609 without a remainder.

Step-4: Factors of 52624

List of positive integer factors of 52624 that divides 52609 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52609 and 52624. The biggest common factor number is the GCF number.
So the greatest common factor 52609 and 52624 is 1.

Also check out the Least Common Multiple of 52609 and 52624