What is the Greatest Common Factor of 12591 and 12597?

Greatest common factor (GCF) of 12591 and 12597 is 3.

GCF(12591,12597) = 3

We will now calculate the prime factors of 12591 and 12597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12591 and 12597.

How to find the GCF of 12591 and 12597?

We will first find the prime factorization of 12591 and 12597. After we will calculate the factors of 12591 and 12597 and find the biggest common factor number .

Step-1: Prime Factorization of 12591

Prime factors of 12591 are 3, 1399. Prime factorization of 12591 in exponential form is:

12591 = 3² × 1399¹

Step-2: Prime Factorization of 12597

Prime factors of 12597 are 3, 13, 17, 19. Prime factorization of 12597 in exponential form is:

12597 = 3¹ × 13¹ × 17¹ × 19¹

Step-3: Factors of 12591

List of positive integer factors of 12591 that divides 12591 without a remainder.

1, 3, 9, 1399, 4197

Step-4: Factors of 12597

List of positive integer factors of 12597 that divides 12591 without a remainder.

1, 3, 13, 17, 19, 39, 51, 57, 221, 247, 323, 663, 741, 969, 4199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12591 and 12597. The biggest common factor number is the GCF number.
So the greatest common factor 12591 and 12597 is 3.

Also check out the Least Common Multiple of 12591 and 12597