What is the Greatest Common Factor of 8657 and 8667?

Greatest common factor (GCF) of 8657 and 8667 is 1.

GCF(8657,8667) = 1

We will now calculate the prime factors of 8657 and 8667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8657 and 8667.

How to find the GCF of 8657 and 8667?

We will first find the prime factorization of 8657 and 8667. After we will calculate the factors of 8657 and 8667 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 8667

Prime factors of 8667 are 3, 107. Prime factorization of 8667 in exponential form is:

8667 = 3⁴ × 107¹

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 8667

List of positive integer factors of 8667 that divides 8657 without a remainder.

1, 3, 9, 27, 81, 107, 321, 963, 2889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8657 and 8667. The biggest common factor number is the GCF number.
So the greatest common factor 8657 and 8667 is 1.

Also check out the Least Common Multiple of 8657 and 8667