What is the Greatest Common Factor of 12964 and 12972?

Greatest common factor (GCF) of 12964 and 12972 is 4.

GCF(12964,12972) = 4

We will now calculate the prime factors of 12964 and 12972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12964 and 12972.

How to find the GCF of 12964 and 12972?

We will first find the prime factorization of 12964 and 12972. After we will calculate the factors of 12964 and 12972 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12972

Prime factors of 12972 are 2, 3, 23, 47. Prime factorization of 12972 in exponential form is:

12972 = 2² × 3¹ × 23¹ × 47¹

Step-3: Factors of 12964

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

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

Step-4: Factors of 12972

List of positive integer factors of 12972 that divides 12964 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 47, 69, 92, 94, 138, 141, 188, 276, 282, 564, 1081, 2162, 3243, 4324, 6486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12964 and 12972. The biggest common factor number is the GCF number.
So the greatest common factor 12964 and 12972 is 4.

Also check out the Least Common Multiple of 12964 and 12972