What is the Greatest Common Factor of 12624 and 12639?

Greatest common factor (GCF) of 12624 and 12639 is 3.

GCF(12624,12639) = 3

We will now calculate the prime factors of 12624 and 12639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12624 and 12639.

How to find the GCF of 12624 and 12639?

We will first find the prime factorization of 12624 and 12639. After we will calculate the factors of 12624 and 12639 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 12624

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

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

Step-4: Factors of 12639

List of positive integer factors of 12639 that divides 12624 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12624 and 12639. The biggest common factor number is the GCF number.
So the greatest common factor 12624 and 12639 is 3.

Also check out the Least Common Multiple of 12624 and 12639