What is the Greatest Common Factor of 6675 and 6684?

Greatest common factor (GCF) of 6675 and 6684 is 3.

GCF(6675,6684) = 3

We will now calculate the prime factors of 6675 and 6684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6675 and 6684.

How to find the GCF of 6675 and 6684?

We will first find the prime factorization of 6675 and 6684. After we will calculate the factors of 6675 and 6684 and find the biggest common factor number .

Step-1: Prime Factorization of 6675

Prime factors of 6675 are 3, 5, 89. Prime factorization of 6675 in exponential form is:

6675 = 3¹ × 5² × 89¹

Step-2: 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-3: Factors of 6675

List of positive integer factors of 6675 that divides 6675 without a remainder.

1, 3, 5, 15, 25, 75, 89, 267, 445, 1335, 2225

Step-4: Factors of 6684

List of positive integer factors of 6684 that divides 6675 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6675 and 6684. The biggest common factor number is the GCF number.
So the greatest common factor 6675 and 6684 is 3.

Also check out the Least Common Multiple of 6675 and 6684