What is the Greatest Common Factor of 12639 and 12657?

Greatest common factor (GCF) of 12639 and 12657 is 3.

GCF(12639,12657) = 3

We will now calculate the prime factors of 12639 and 12657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12639 and 12657.

How to find the GCF of 12639 and 12657?

We will first find the prime factorization of 12639 and 12657. After we will calculate the factors of 12639 and 12657 and find the biggest common factor number .

Step-1: Prime Factorization of 12639

Prime factors of 12639 are 3, 11, 383. Prime factorization of 12639 in exponential form is:

12639 = 3¹ × 11¹ × 383¹

Step-2: Prime Factorization of 12657

Prime factors of 12657 are 3, 4219. Prime factorization of 12657 in exponential form is:

12657 = 3¹ × 4219¹

Step-3: Factors of 12639

List of positive integer factors of 12639 that divides 12639 without a remainder.

1, 3, 11, 33, 383, 1149, 4213

Step-4: Factors of 12657

List of positive integer factors of 12657 that divides 12639 without a remainder.

1, 3, 4219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12639 and 12657. The biggest common factor number is the GCF number.
So the greatest common factor 12639 and 12657 is 3.

Also check out the Least Common Multiple of 12639 and 12657