What is the Greatest Common Factor of 12591 and 12609?

Greatest common factor (GCF) of 12591 and 12609 is 9.

GCF(12591,12609) = 9

We will now calculate the prime factors of 12591 and 12609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12591 and 12609.

How to find the GCF of 12591 and 12609?

We will first find the prime factorization of 12591 and 12609. After we will calculate the factors of 12591 and 12609 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 12609

Prime factors of 12609 are 3, 467. Prime factorization of 12609 in exponential form is:

12609 = 3³ × 467¹

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 12609

List of positive integer factors of 12609 that divides 12591 without a remainder.

1, 3, 9, 27, 467, 1401, 4203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12591 and 12609. The biggest common factor number is the GCF number.
So the greatest common factor 12591 and 12609 is 9.

Also check out the Least Common Multiple of 12591 and 12609