What is the Greatest Common Factor of 6684 and 6690?

Greatest common factor (GCF) of 6684 and 6690 is 6.

GCF(6684,6690) = 6

We will now calculate the prime factors of 6684 and 6690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6684 and 6690.

How to find the GCF of 6684 and 6690?

We will first find the prime factorization of 6684 and 6690. After we will calculate the factors of 6684 and 6690 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 6690

Prime factors of 6690 are 2, 3, 5, 223. Prime factorization of 6690 in exponential form is:

6690 = 2¹ × 3¹ × 5¹ × 223¹

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 6690

List of positive integer factors of 6690 that divides 6684 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 223, 446, 669, 1115, 1338, 2230, 3345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6684 and 6690. The biggest common factor number is the GCF number.
So the greatest common factor 6684 and 6690 is 6.

Also check out the Least Common Multiple of 6684 and 6690