What is the Greatest Common Factor of 12912 and 12930?

Greatest common factor (GCF) of 12912 and 12930 is 6.

GCF(12912,12930) = 6

We will now calculate the prime factors of 12912 and 12930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12912 and 12930.

How to find the GCF of 12912 and 12930?

We will first find the prime factorization of 12912 and 12930. After we will calculate the factors of 12912 and 12930 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 12930

Prime factors of 12930 are 2, 3, 5, 431. Prime factorization of 12930 in exponential form is:

12930 = 2¹ × 3¹ × 5¹ × 431¹

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 12930

List of positive integer factors of 12930 that divides 12912 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 431, 862, 1293, 2155, 2586, 4310, 6465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12912 and 12930. The biggest common factor number is the GCF number.
So the greatest common factor 12912 and 12930 is 6.

Also check out the Least Common Multiple of 12912 and 12930