What is the Greatest Common Factor of 12738 and 12753?

Greatest common factor (GCF) of 12738 and 12753 is 3.

GCF(12738,12753) = 3

We will now calculate the prime factors of 12738 and 12753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12738 and 12753.

How to find the GCF of 12738 and 12753?

We will first find the prime factorization of 12738 and 12753. After we will calculate the factors of 12738 and 12753 and find the biggest common factor number .

Step-1: Prime Factorization of 12738

Prime factors of 12738 are 2, 3, 11, 193. Prime factorization of 12738 in exponential form is:

12738 = 2¹ × 3¹ × 11¹ × 193¹

Step-2: Prime Factorization of 12753

Prime factors of 12753 are 3, 13, 109. Prime factorization of 12753 in exponential form is:

12753 = 3² × 13¹ × 109¹

Step-3: Factors of 12738

List of positive integer factors of 12738 that divides 12738 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 193, 386, 579, 1158, 2123, 4246, 6369

Step-4: Factors of 12753

List of positive integer factors of 12753 that divides 12738 without a remainder.

1, 3, 9, 13, 39, 109, 117, 327, 981, 1417, 4251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12738 and 12753. The biggest common factor number is the GCF number.
So the greatest common factor 12738 and 12753 is 3.

Also check out the Least Common Multiple of 12738 and 12753