What is the Greatest Common Factor of 12624 and 12636?

Greatest common factor (GCF) of 12624 and 12636 is 12.

GCF(12624,12636) = 12

We will now calculate the prime factors of 12624 and 12636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12624 and 12636.

How to find the GCF of 12624 and 12636?

We will first find the prime factorization of 12624 and 12636. After we will calculate the factors of 12624 and 12636 and find the biggest common factor number .

Step-1: Prime Factorization of 12624

Prime factors of 12624 are 2, 3, 263. Prime factorization of 12624 in exponential form is:

12624 = 2⁴ × 3¹ × 263¹

Step-2: 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-3: Factors of 12624

List of positive integer factors of 12624 that divides 12624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 263, 526, 789, 1052, 1578, 2104, 3156, 4208, 6312

Step-4: Factors of 12636

List of positive integer factors of 12636 that divides 12624 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12624 and 12636. The biggest common factor number is the GCF number.
So the greatest common factor 12624 and 12636 is 12.

Also check out the Least Common Multiple of 12624 and 12636