What is the Greatest Common Factor of 12934 and 12944?

Greatest common factor (GCF) of 12934 and 12944 is 2.

GCF(12934,12944) = 2

We will now calculate the prime factors of 12934 and 12944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12934 and 12944.

How to find the GCF of 12934 and 12944?

We will first find the prime factorization of 12934 and 12944. After we will calculate the factors of 12934 and 12944 and find the biggest common factor number .

Step-1: Prime Factorization of 12934

Prime factors of 12934 are 2, 29, 223. Prime factorization of 12934 in exponential form is:

12934 = 2¹ × 29¹ × 223¹

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 12934

List of positive integer factors of 12934 that divides 12934 without a remainder.

1, 2, 29, 58, 223, 446, 6467

Step-4: Factors of 12944

List of positive integer factors of 12944 that divides 12934 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 12934 and 12944. The biggest common factor number is the GCF number.
So the greatest common factor 12934 and 12944 is 2.

Also check out the Least Common Multiple of 12934 and 12944