What is the Greatest Common Factor of 12954 and 12964?

Greatest common factor (GCF) of 12954 and 12964 is 2.

GCF(12954,12964) = 2

We will now calculate the prime factors of 12954 and 12964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12954 and 12964.

How to find the GCF of 12954 and 12964?

We will first find the prime factorization of 12954 and 12964. After we will calculate the factors of 12954 and 12964 and find the biggest common factor number .

Step-1: Prime Factorization of 12954

Prime factors of 12954 are 2, 3, 17, 127. Prime factorization of 12954 in exponential form is:

12954 = 2¹ × 3¹ × 17¹ × 127¹

Step-2: Prime Factorization of 12964

Prime factors of 12964 are 2, 7, 463. Prime factorization of 12964 in exponential form is:

12964 = 2² × 7¹ × 463¹

Step-3: Factors of 12954

List of positive integer factors of 12954 that divides 12954 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 127, 254, 381, 762, 2159, 4318, 6477

Step-4: Factors of 12964

List of positive integer factors of 12964 that divides 12954 without a remainder.

1, 2, 4, 7, 14, 28, 463, 926, 1852, 3241, 6482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12954 and 12964. The biggest common factor number is the GCF number.
So the greatest common factor 12954 and 12964 is 2.

Also check out the Least Common Multiple of 12954 and 12964