What is the Greatest Common Factor of 12729 and 12744?

Greatest common factor (GCF) of 12729 and 12744 is 3.

GCF(12729,12744) = 3

We will now calculate the prime factors of 12729 and 12744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12729 and 12744.

How to find the GCF of 12729 and 12744?

We will first find the prime factorization of 12729 and 12744. After we will calculate the factors of 12729 and 12744 and find the biggest common factor number .

Step-1: Prime Factorization of 12729

Prime factors of 12729 are 3, 4243. Prime factorization of 12729 in exponential form is:

12729 = 3¹ × 4243¹

Step-2: 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-3: Factors of 12729

List of positive integer factors of 12729 that divides 12729 without a remainder.

1, 3, 4243

Step-4: Factors of 12744

List of positive integer factors of 12744 that divides 12729 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12729 and 12744. The biggest common factor number is the GCF number.
So the greatest common factor 12729 and 12744 is 3.

Also check out the Least Common Multiple of 12729 and 12744