What is the Greatest Common Factor of 12738 and 12758?

Greatest common factor (GCF) of 12738 and 12758 is 2.

GCF(12738,12758) = 2

We will now calculate the prime factors of 12738 and 12758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12738 and 12758.

How to find the GCF of 12738 and 12758?

We will first find the prime factorization of 12738 and 12758. After we will calculate the factors of 12738 and 12758 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 12758

Prime factors of 12758 are 2, 6379. Prime factorization of 12758 in exponential form is:

12758 = 2¹ × 6379¹

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 12758

List of positive integer factors of 12758 that divides 12738 without a remainder.

1, 2, 6379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12738 and 12758. The biggest common factor number is the GCF number.
So the greatest common factor 12738 and 12758 is 2.

Also check out the Least Common Multiple of 12738 and 12758