What is the Greatest Common Factor of 12597 and 12612?

Greatest common factor (GCF) of 12597 and 12612 is 3.

GCF(12597,12612) = 3

We will now calculate the prime factors of 12597 and 12612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12597 and 12612.

How to find the GCF of 12597 and 12612?

We will first find the prime factorization of 12597 and 12612. After we will calculate the factors of 12597 and 12612 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12612

Prime factors of 12612 are 2, 3, 1051. Prime factorization of 12612 in exponential form is:

12612 = 2² × 3¹ × 1051¹

Step-3: Factors of 12597

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

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

Step-4: Factors of 12612

List of positive integer factors of 12612 that divides 12597 without a remainder.

1, 2, 3, 4, 6, 12, 1051, 2102, 3153, 4204, 6306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12597 and 12612. The biggest common factor number is the GCF number.
So the greatest common factor 12597 and 12612 is 3.

Also check out the Least Common Multiple of 12597 and 12612