What is the Greatest Common Factor of 8657 and 8668?

Greatest common factor (GCF) of 8657 and 8668 is 11.

GCF(8657,8668) = 11

We will now calculate the prime factors of 8657 and 8668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8657 and 8668.

How to find the GCF of 8657 and 8668?

We will first find the prime factorization of 8657 and 8668. After we will calculate the factors of 8657 and 8668 and find the biggest common factor number .

Step-1: Prime Factorization of 8657

Prime factors of 8657 are 11, 787. Prime factorization of 8657 in exponential form is:

8657 = 11¹ × 787¹

Step-2: Prime Factorization of 8668

Prime factors of 8668 are 2, 11, 197. Prime factorization of 8668 in exponential form is:

8668 = 2² × 11¹ × 197¹

Step-3: Factors of 8657

List of positive integer factors of 8657 that divides 8657 without a remainder.

1, 11, 787

Step-4: Factors of 8668

List of positive integer factors of 8668 that divides 8657 without a remainder.

1, 2, 4, 11, 22, 44, 197, 394, 788, 2167, 4334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8657 and 8668. The biggest common factor number is the GCF number.
So the greatest common factor 8657 and 8668 is 11.

Also check out the Least Common Multiple of 8657 and 8668