What is the Greatest Common Factor of 12924 and 12939?

Greatest common factor (GCF) of 12924 and 12939 is 3.

GCF(12924,12939) = 3

We will now calculate the prime factors of 12924 and 12939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12924 and 12939.

How to find the GCF of 12924 and 12939?

We will first find the prime factorization of 12924 and 12939. After we will calculate the factors of 12924 and 12939 and find the biggest common factor number .

Step-1: Prime Factorization of 12924

Prime factors of 12924 are 2, 3, 359. Prime factorization of 12924 in exponential form is:

12924 = 2² × 3² × 359¹

Step-2: Prime Factorization of 12939

Prime factors of 12939 are 3, 19, 227. Prime factorization of 12939 in exponential form is:

12939 = 3¹ × 19¹ × 227¹

Step-3: Factors of 12924

List of positive integer factors of 12924 that divides 12924 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 359, 718, 1077, 1436, 2154, 3231, 4308, 6462

Step-4: Factors of 12939

List of positive integer factors of 12939 that divides 12924 without a remainder.

1, 3, 19, 57, 227, 681, 4313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12924 and 12939. The biggest common factor number is the GCF number.
So the greatest common factor 12924 and 12939 is 3.

Also check out the Least Common Multiple of 12924 and 12939