What is the Greatest Common Factor of 12928 and 12946?

Greatest common factor (GCF) of 12928 and 12946 is 2.

GCF(12928,12946) = 2

We will now calculate the prime factors of 12928 and 12946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12928 and 12946.

How to find the GCF of 12928 and 12946?

We will first find the prime factorization of 12928 and 12946. After we will calculate the factors of 12928 and 12946 and find the biggest common factor number .

Step-1: Prime Factorization of 12928

Prime factors of 12928 are 2, 101. Prime factorization of 12928 in exponential form is:

12928 = 2⁷ × 101¹

Step-2: Prime Factorization of 12946

Prime factors of 12946 are 2, 6473. Prime factorization of 12946 in exponential form is:

12946 = 2¹ × 6473¹

Step-3: Factors of 12928

List of positive integer factors of 12928 that divides 12928 without a remainder.

1, 2, 4, 8, 16, 32, 64, 101, 128, 202, 404, 808, 1616, 3232, 6464

Step-4: Factors of 12946

List of positive integer factors of 12946 that divides 12928 without a remainder.

1, 2, 6473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12928 and 12946. The biggest common factor number is the GCF number.
So the greatest common factor 12928 and 12946 is 2.

Also check out the Least Common Multiple of 12928 and 12946