What is the Greatest Common Factor of 2631 and 2649?

Greatest common factor (GCF) of 2631 and 2649 is 3.

GCF(2631,2649) = 3

We will now calculate the prime factors of 2631 and 2649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2631 and 2649.

How to find the GCF of 2631 and 2649?

We will first find the prime factorization of 2631 and 2649. After we will calculate the factors of 2631 and 2649 and find the biggest common factor number .

Step-1: Prime Factorization of 2631

Prime factors of 2631 are 3, 877. Prime factorization of 2631 in exponential form is:

2631 = 3¹ × 877¹

Step-2: Prime Factorization of 2649

Prime factors of 2649 are 3, 883. Prime factorization of 2649 in exponential form is:

2649 = 3¹ × 883¹

Step-3: Factors of 2631

List of positive integer factors of 2631 that divides 2631 without a remainder.

1, 3, 877

Step-4: Factors of 2649

List of positive integer factors of 2649 that divides 2631 without a remainder.

1, 3, 883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2631 and 2649. The biggest common factor number is the GCF number.
So the greatest common factor 2631 and 2649 is 3.

Also check out the Least Common Multiple of 2631 and 2649