What is the Greatest Common Factor of 12932 and 12944?

Greatest common factor (GCF) of 12932 and 12944 is 4.

GCF(12932,12944) = 4

We will now calculate the prime factors of 12932 and 12944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12932 and 12944.

How to find the GCF of 12932 and 12944?

We will first find the prime factorization of 12932 and 12944. After we will calculate the factors of 12932 and 12944 and find the biggest common factor number .

Step-1: Prime Factorization of 12932

Prime factors of 12932 are 2, 53, 61. Prime factorization of 12932 in exponential form is:

12932 = 2² × 53¹ × 61¹

Step-2: Prime Factorization of 12944

Prime factors of 12944 are 2, 809. Prime factorization of 12944 in exponential form is:

12944 = 2⁴ × 809¹

Step-3: Factors of 12932

List of positive integer factors of 12932 that divides 12932 without a remainder.

1, 2, 4, 53, 61, 106, 122, 212, 244, 3233, 6466

Step-4: Factors of 12944

List of positive integer factors of 12944 that divides 12932 without a remainder.

1, 2, 4, 8, 16, 809, 1618, 3236, 6472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12932 and 12944. The biggest common factor number is the GCF number.
So the greatest common factor 12932 and 12944 is 4.

Also check out the Least Common Multiple of 12932 and 12944