What is the Greatest Common Factor of 6684 and 6693?

Greatest common factor (GCF) of 6684 and 6693 is 3.

GCF(6684,6693) = 3

We will now calculate the prime factors of 6684 and 6693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6684 and 6693.

How to find the GCF of 6684 and 6693?

We will first find the prime factorization of 6684 and 6693. After we will calculate the factors of 6684 and 6693 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 6693

Prime factors of 6693 are 3, 23, 97. Prime factorization of 6693 in exponential form is:

6693 = 3¹ × 23¹ × 97¹

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 6693

List of positive integer factors of 6693 that divides 6684 without a remainder.

1, 3, 23, 69, 97, 291, 2231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6684 and 6693. The biggest common factor number is the GCF number.
So the greatest common factor 6684 and 6693 is 3.

Also check out the Least Common Multiple of 6684 and 6693