What is the Greatest Common Factor of 12924 and 12941?

Greatest common factor (GCF) of 12924 and 12941 is 1.

GCF(12924,12941) = 1

We will now calculate the prime factors of 12924 and 12941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12924 and 12941.

How to find the GCF of 12924 and 12941?

We will first find the prime factorization of 12924 and 12941. After we will calculate the factors of 12924 and 12941 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 12941

Prime factors of 12941 are 12941. Prime factorization of 12941 in exponential form is:

12941 = 12941¹

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 12941

List of positive integer factors of 12941 that divides 12924 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12924 and 12941. The biggest common factor number is the GCF number.
So the greatest common factor 12924 and 12941 is 1.

Also check out the Least Common Multiple of 12924 and 12941