What is the Greatest Common Factor of 12744 and 12762?

Greatest common factor (GCF) of 12744 and 12762 is 18.

GCF(12744,12762) = 18

We will now calculate the prime factors of 12744 and 12762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12744 and 12762.

How to find the GCF of 12744 and 12762?

We will first find the prime factorization of 12744 and 12762. After we will calculate the factors of 12744 and 12762 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 12762

Prime factors of 12762 are 2, 3, 709. Prime factorization of 12762 in exponential form is:

12762 = 2¹ × 3² × 709¹

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 12762

List of positive integer factors of 12762 that divides 12744 without a remainder.

1, 2, 3, 6, 9, 18, 709, 1418, 2127, 4254, 6381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12744 and 12762. The biggest common factor number is the GCF number.
So the greatest common factor 12744 and 12762 is 18.

Also check out the Least Common Multiple of 12744 and 12762