What is the Greatest Common Factor of 8649 and 8661?

Greatest common factor (GCF) of 8649 and 8661 is 3.

GCF(8649,8661) = 3

We will now calculate the prime factors of 8649 and 8661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8649 and 8661.

How to find the GCF of 8649 and 8661?

We will first find the prime factorization of 8649 and 8661. After we will calculate the factors of 8649 and 8661 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 8661

Prime factors of 8661 are 3, 2887. Prime factorization of 8661 in exponential form is:

8661 = 3¹ × 2887¹

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 8661

List of positive integer factors of 8661 that divides 8649 without a remainder.

1, 3, 2887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8649 and 8661. The biggest common factor number is the GCF number.
So the greatest common factor 8649 and 8661 is 3.

Also check out the Least Common Multiple of 8649 and 8661