What is the Greatest Common Factor of 6624 and 6636?

Greatest common factor (GCF) of 6624 and 6636 is 12.

GCF(6624,6636) = 12

We will now calculate the prime factors of 6624 and 6636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6624 and 6636.

How to find the GCF of 6624 and 6636?

We will first find the prime factorization of 6624 and 6636. After we will calculate the factors of 6624 and 6636 and find the biggest common factor number .

Step-1: Prime Factorization of 6624

Prime factors of 6624 are 2, 3, 23. Prime factorization of 6624 in exponential form is:

6624 = 2⁵ × 3² × 23¹

Step-2: Prime Factorization of 6636

Prime factors of 6636 are 2, 3, 7, 79. Prime factorization of 6636 in exponential form is:

6636 = 2² × 3¹ × 7¹ × 79¹

Step-3: Factors of 6624

List of positive integer factors of 6624 that divides 6624 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312

Step-4: Factors of 6636

List of positive integer factors of 6636 that divides 6624 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 79, 84, 158, 237, 316, 474, 553, 948, 1106, 1659, 2212, 3318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6624 and 6636. The biggest common factor number is the GCF number.
So the greatest common factor 6624 and 6636 is 12.

Also check out the Least Common Multiple of 6624 and 6636