What is the Greatest Common Factor of 8649 and 8667?

Greatest common factor (GCF) of 8649 and 8667 is 9.

GCF(8649,8667) = 9

We will now calculate the prime factors of 8649 and 8667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8649 and 8667.

How to find the GCF of 8649 and 8667?

We will first find the prime factorization of 8649 and 8667. After we will calculate the factors of 8649 and 8667 and find the biggest common factor number .

Step-1: Prime Factorization of 8649

Prime factors of 8649 are 3, 31. Prime factorization of 8649 in exponential form is:

8649 = 3² × 31²

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 8649

List of positive integer factors of 8649 that divides 8649 without a remainder.

1, 3, 9, 31, 93, 279, 961, 2883

Step-4: Factors of 8667

List of positive integer factors of 8667 that divides 8649 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 8649 and 8667. The biggest common factor number is the GCF number.
So the greatest common factor 8649 and 8667 is 9.

Also check out the Least Common Multiple of 8649 and 8667