What is the Greatest Common Factor of 8649 and 8655?

Greatest common factor (GCF) of 8649 and 8655 is 3.

GCF(8649,8655) = 3

We will now calculate the prime factors of 8649 and 8655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8649 and 8655.

How to find the GCF of 8649 and 8655?

We will first find the prime factorization of 8649 and 8655. After we will calculate the factors of 8649 and 8655 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 8655

Prime factors of 8655 are 3, 5, 577. Prime factorization of 8655 in exponential form is:

8655 = 3¹ × 5¹ × 577¹

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 8655

List of positive integer factors of 8655 that divides 8649 without a remainder.

1, 3, 5, 15, 577, 1731, 2885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8649 and 8655. The biggest common factor number is the GCF number.
So the greatest common factor 8649 and 8655 is 3.

Also check out the Least Common Multiple of 8649 and 8655