What is the Greatest Common Factor of 65624 and 65637?

Greatest common factor (GCF) of 65624 and 65637 is 13.

GCF(65624,65637) = 13

We will now calculate the prime factors of 65624 and 65637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65624 and 65637.

How to find the GCF of 65624 and 65637?

We will first find the prime factorization of 65624 and 65637. After we will calculate the factors of 65624 and 65637 and find the biggest common factor number .

Step-1: Prime Factorization of 65624

Prime factors of 65624 are 2, 13, 631. Prime factorization of 65624 in exponential form is:

65624 = 2³ × 13¹ × 631¹

Step-2: Prime Factorization of 65637

Prime factors of 65637 are 3, 11, 13, 17. Prime factorization of 65637 in exponential form is:

65637 = 3³ × 11¹ × 13¹ × 17¹

Step-3: Factors of 65624

List of positive integer factors of 65624 that divides 65624 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 631, 1262, 2524, 5048, 8203, 16406, 32812

Step-4: Factors of 65637

List of positive integer factors of 65637 that divides 65624 without a remainder.

1, 3, 9, 11, 13, 17, 27, 33, 39, 51, 99, 117, 143, 153, 187, 221, 297, 351, 429, 459, 561, 663, 1287, 1683, 1989, 2431, 3861, 5049, 5967, 7293, 21879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65624 and 65637. The biggest common factor number is the GCF number.
So the greatest common factor 65624 and 65637 is 13.

Also check out the Least Common Multiple of 65624 and 65637