What is the Greatest Common Factor of 12738 and 12748?

Greatest common factor (GCF) of 12738 and 12748 is 2.

GCF(12738,12748) = 2

We will now calculate the prime factors of 12738 and 12748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12738 and 12748.

How to find the GCF of 12738 and 12748?

We will first find the prime factorization of 12738 and 12748. After we will calculate the factors of 12738 and 12748 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 12748

Prime factors of 12748 are 2, 3187. Prime factorization of 12748 in exponential form is:

12748 = 2² × 3187¹

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 12748

List of positive integer factors of 12748 that divides 12738 without a remainder.

1, 2, 4, 3187, 6374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12738 and 12748. The biggest common factor number is the GCF number.
So the greatest common factor 12738 and 12748 is 2.

Also check out the Least Common Multiple of 12738 and 12748