What is the Greatest Common Factor of 6684 and 6696?

Greatest common factor (GCF) of 6684 and 6696 is 12.

GCF(6684,6696) = 12

We will now calculate the prime factors of 6684 and 6696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6684 and 6696.

How to find the GCF of 6684 and 6696?

We will first find the prime factorization of 6684 and 6696. After we will calculate the factors of 6684 and 6696 and find the biggest common factor number .

Step-1: Prime Factorization of 6684

Prime factors of 6684 are 2, 3, 557. Prime factorization of 6684 in exponential form is:

6684 = 2² × 3¹ × 557¹

Step-2: Prime Factorization of 6696

Prime factors of 6696 are 2, 3, 31. Prime factorization of 6696 in exponential form is:

6696 = 2³ × 3³ × 31¹

Step-3: Factors of 6684

List of positive integer factors of 6684 that divides 6684 without a remainder.

1, 2, 3, 4, 6, 12, 557, 1114, 1671, 2228, 3342

Step-4: Factors of 6696

List of positive integer factors of 6696 that divides 6684 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 744, 837, 1116, 1674, 2232, 3348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6684 and 6696. The biggest common factor number is the GCF number.
So the greatest common factor 6684 and 6696 is 12.

Also check out the Least Common Multiple of 6684 and 6696