What is the Greatest Common Factor of 12727 and 12738?

Greatest common factor (GCF) of 12727 and 12738 is 11.

GCF(12727,12738) = 11

We will now calculate the prime factors of 12727 and 12738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12727 and 12738.

How to find the GCF of 12727 and 12738?

We will first find the prime factorization of 12727 and 12738. After we will calculate the factors of 12727 and 12738 and find the biggest common factor number .

Step-1: Prime Factorization of 12727

Prime factors of 12727 are 11, 13, 89. Prime factorization of 12727 in exponential form is:

12727 = 11¹ × 13¹ × 89¹

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 12727

List of positive integer factors of 12727 that divides 12727 without a remainder.

1, 11, 13, 89, 143, 979, 1157

Step-4: Factors of 12738

List of positive integer factors of 12738 that divides 12727 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 12727 and 12738. The biggest common factor number is the GCF number.
So the greatest common factor 12727 and 12738 is 11.

Also check out the Least Common Multiple of 12727 and 12738