What is the Greatest Common Factor of 12738 and 12752?

Greatest common factor (GCF) of 12738 and 12752 is 2.

GCF(12738,12752) = 2

We will now calculate the prime factors of 12738 and 12752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12738 and 12752.

How to find the GCF of 12738 and 12752?

We will first find the prime factorization of 12738 and 12752. After we will calculate the factors of 12738 and 12752 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 12752

Prime factors of 12752 are 2, 797. Prime factorization of 12752 in exponential form is:

12752 = 2⁴ × 797¹

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 12752

List of positive integer factors of 12752 that divides 12738 without a remainder.

1, 2, 4, 8, 16, 797, 1594, 3188, 6376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12738 and 12752. The biggest common factor number is the GCF number.
So the greatest common factor 12738 and 12752 is 2.

Also check out the Least Common Multiple of 12738 and 12752