What is the Greatest Common Factor of 6657 and 6669?

Greatest common factor (GCF) of 6657 and 6669 is 3.

GCF(6657,6669) = 3

We will now calculate the prime factors of 6657 and 6669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6657 and 6669.

How to find the GCF of 6657 and 6669?

We will first find the prime factorization of 6657 and 6669. After we will calculate the factors of 6657 and 6669 and find the biggest common factor number .

Step-1: Prime Factorization of 6657

Prime factors of 6657 are 3, 7, 317. Prime factorization of 6657 in exponential form is:

6657 = 3¹ × 7¹ × 317¹

Step-2: Prime Factorization of 6669

Prime factors of 6669 are 3, 13, 19. Prime factorization of 6669 in exponential form is:

6669 = 3³ × 13¹ × 19¹

Step-3: Factors of 6657

List of positive integer factors of 6657 that divides 6657 without a remainder.

1, 3, 7, 21, 317, 951, 2219

Step-4: Factors of 6669

List of positive integer factors of 6669 that divides 6657 without a remainder.

1, 3, 9, 13, 19, 27, 39, 57, 117, 171, 247, 351, 513, 741, 2223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6657 and 6669. The biggest common factor number is the GCF number.
So the greatest common factor 6657 and 6669 is 3.

Also check out the Least Common Multiple of 6657 and 6669