What is the Greatest Common Factor of 8657 and 8664?

Greatest common factor (GCF) of 8657 and 8664 is 1.

GCF(8657,8664) = 1

We will now calculate the prime factors of 8657 and 8664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8657 and 8664.

How to find the GCF of 8657 and 8664?

We will first find the prime factorization of 8657 and 8664. After we will calculate the factors of 8657 and 8664 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 8664

Prime factors of 8664 are 2, 3, 19. Prime factorization of 8664 in exponential form is:

8664 = 2³ × 3¹ × 19²

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 8664

List of positive integer factors of 8664 that divides 8657 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8657 and 8664. The biggest common factor number is the GCF number.
So the greatest common factor 8657 and 8664 is 1.

Also check out the Least Common Multiple of 8657 and 8664