What is the Greatest Common Factor of 6684 and 6702?

Greatest common factor (GCF) of 6684 and 6702 is 6.

GCF(6684,6702) = 6

We will now calculate the prime factors of 6684 and 6702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6684 and 6702.

How to find the GCF of 6684 and 6702?

We will first find the prime factorization of 6684 and 6702. After we will calculate the factors of 6684 and 6702 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 6702

Prime factors of 6702 are 2, 3, 1117. Prime factorization of 6702 in exponential form is:

6702 = 2¹ × 3¹ × 1117¹

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 6702

List of positive integer factors of 6702 that divides 6684 without a remainder.

1, 2, 3, 6, 1117, 2234, 3351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6684 and 6702. The biggest common factor number is the GCF number.
So the greatest common factor 6684 and 6702 is 6.

Also check out the Least Common Multiple of 6684 and 6702