What is the Greatest Common Factor of 6684 and 6700?

Greatest common factor (GCF) of 6684 and 6700 is 4.

GCF(6684,6700) = 4

We will now calculate the prime factors of 6684 and 6700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6684 and 6700.

How to find the GCF of 6684 and 6700?

We will first find the prime factorization of 6684 and 6700. After we will calculate the factors of 6684 and 6700 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 6700

Prime factors of 6700 are 2, 5, 67. Prime factorization of 6700 in exponential form is:

6700 = 2² × 5² × 67¹

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 6700

List of positive integer factors of 6700 that divides 6684 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 67, 100, 134, 268, 335, 670, 1340, 1675, 3350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6684 and 6700. The biggest common factor number is the GCF number.
So the greatest common factor 6684 and 6700 is 4.

Also check out the Least Common Multiple of 6684 and 6700