What is the Greatest Common Factor of 12609 and 12624?

Greatest common factor (GCF) of 12609 and 12624 is 3.

GCF(12609,12624) = 3

We will now calculate the prime factors of 12609 and 12624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12609 and 12624.

How to find the GCF of 12609 and 12624?

We will first find the prime factorization of 12609 and 12624. After we will calculate the factors of 12609 and 12624 and find the biggest common factor number .

Step-1: Prime Factorization of 12609

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

12609 = 3³ × 467¹

Step-2: Prime Factorization of 12624

Prime factors of 12624 are 2, 3, 263. Prime factorization of 12624 in exponential form is:

12624 = 2⁴ × 3¹ × 263¹

Step-3: Factors of 12609

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

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

Step-4: Factors of 12624

List of positive integer factors of 12624 that divides 12609 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 263, 526, 789, 1052, 1578, 2104, 3156, 4208, 6312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12609 and 12624. The biggest common factor number is the GCF number.
So the greatest common factor 12609 and 12624 is 3.

Also check out the Least Common Multiple of 12609 and 12624