What is the Greatest Common Factor of 6677 and 6688?

Greatest common factor (GCF) of 6677 and 6688 is 11.

GCF(6677,6688) = 11

We will now calculate the prime factors of 6677 and 6688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6677 and 6688.

How to find the GCF of 6677 and 6688?

We will first find the prime factorization of 6677 and 6688. After we will calculate the factors of 6677 and 6688 and find the biggest common factor number .

Step-1: Prime Factorization of 6677

Prime factors of 6677 are 11, 607. Prime factorization of 6677 in exponential form is:

6677 = 11¹ × 607¹

Step-2: Prime Factorization of 6688

Prime factors of 6688 are 2, 11, 19. Prime factorization of 6688 in exponential form is:

6688 = 2⁵ × 11¹ × 19¹

Step-3: Factors of 6677

List of positive integer factors of 6677 that divides 6677 without a remainder.

1, 11, 607

Step-4: Factors of 6688

List of positive integer factors of 6688 that divides 6677 without a remainder.

1, 2, 4, 8, 11, 16, 19, 22, 32, 38, 44, 76, 88, 152, 176, 209, 304, 352, 418, 608, 836, 1672, 3344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6677 and 6688. The biggest common factor number is the GCF number.
So the greatest common factor 6677 and 6688 is 11.

Also check out the Least Common Multiple of 6677 and 6688