What is the Greatest Common Factor of 12744 and 12764?

Greatest common factor (GCF) of 12744 and 12764 is 4.

GCF(12744,12764) = 4

We will now calculate the prime factors of 12744 and 12764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12744 and 12764.

How to find the GCF of 12744 and 12764?

We will first find the prime factorization of 12744 and 12764. After we will calculate the factors of 12744 and 12764 and find the biggest common factor number .

Step-1: Prime Factorization of 12744

Prime factors of 12744 are 2, 3, 59. Prime factorization of 12744 in exponential form is:

12744 = 2³ × 3³ × 59¹

Step-2: Prime Factorization of 12764

Prime factors of 12764 are 2, 3191. Prime factorization of 12764 in exponential form is:

12764 = 2² × 3191¹

Step-3: Factors of 12744

List of positive integer factors of 12744 that divides 12744 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 59, 72, 108, 118, 177, 216, 236, 354, 472, 531, 708, 1062, 1416, 1593, 2124, 3186, 4248, 6372

Step-4: Factors of 12764

List of positive integer factors of 12764 that divides 12744 without a remainder.

1, 2, 4, 3191, 6382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12744 and 12764. The biggest common factor number is the GCF number.
So the greatest common factor 12744 and 12764 is 4.

Also check out the Least Common Multiple of 12744 and 12764