What is the Greatest Common Factor of 12636 and 12652?

Greatest common factor (GCF) of 12636 and 12652 is 4.

GCF(12636,12652) = 4

We will now calculate the prime factors of 12636 and 12652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12636 and 12652.

How to find the GCF of 12636 and 12652?

We will first find the prime factorization of 12636 and 12652. After we will calculate the factors of 12636 and 12652 and find the biggest common factor number .

Step-1: Prime Factorization of 12636

Prime factors of 12636 are 2, 3, 13. Prime factorization of 12636 in exponential form is:

12636 = 2² × 3⁵ × 13¹

Step-2: Prime Factorization of 12652

Prime factors of 12652 are 2, 3163. Prime factorization of 12652 in exponential form is:

12652 = 2² × 3163¹

Step-3: Factors of 12636

List of positive integer factors of 12636 that divides 12636 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 243, 324, 351, 468, 486, 702, 972, 1053, 1404, 2106, 3159, 4212, 6318

Step-4: Factors of 12652

List of positive integer factors of 12652 that divides 12636 without a remainder.

1, 2, 4, 3163, 6326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12636 and 12652. The biggest common factor number is the GCF number.
So the greatest common factor 12636 and 12652 is 4.

Also check out the Least Common Multiple of 12636 and 12652