What is the Greatest Common Factor of 12723 and 12738?

Greatest common factor (GCF) of 12723 and 12738 is 3.

GCF(12723,12738) = 3

We will now calculate the prime factors of 12723 and 12738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12723 and 12738.

How to find the GCF of 12723 and 12738?

We will first find the prime factorization of 12723 and 12738. After we will calculate the factors of 12723 and 12738 and find the biggest common factor number .

Step-1: Prime Factorization of 12723

Prime factors of 12723 are 3, 4241. Prime factorization of 12723 in exponential form is:

12723 = 3¹ × 4241¹

Step-2: 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-3: Factors of 12723

List of positive integer factors of 12723 that divides 12723 without a remainder.

1, 3, 4241

Step-4: Factors of 12738

List of positive integer factors of 12738 that divides 12723 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12723 and 12738. The biggest common factor number is the GCF number.
So the greatest common factor 12723 and 12738 is 3.

Also check out the Least Common Multiple of 12723 and 12738