What is the Greatest Common Factor of 12912 and 12931?

Greatest common factor (GCF) of 12912 and 12931 is 1.

GCF(12912,12931) = 1

We will now calculate the prime factors of 12912 and 12931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12912 and 12931.

How to find the GCF of 12912 and 12931?

We will first find the prime factorization of 12912 and 12931. After we will calculate the factors of 12912 and 12931 and find the biggest common factor number .

Step-1: Prime Factorization of 12912

Prime factors of 12912 are 2, 3, 269. Prime factorization of 12912 in exponential form is:

12912 = 2⁴ × 3¹ × 269¹

Step-2: Prime Factorization of 12931

Prime factors of 12931 are 67, 193. Prime factorization of 12931 in exponential form is:

12931 = 67¹ × 193¹

Step-3: Factors of 12912

List of positive integer factors of 12912 that divides 12912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 269, 538, 807, 1076, 1614, 2152, 3228, 4304, 6456

Step-4: Factors of 12931

List of positive integer factors of 12931 that divides 12912 without a remainder.

1, 67, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12912 and 12931. The biggest common factor number is the GCF number.
So the greatest common factor 12912 and 12931 is 1.

Also check out the Least Common Multiple of 12912 and 12931