What is the Greatest Common Factor of 12726 and 12739?

Greatest common factor (GCF) of 12726 and 12739 is 1.

GCF(12726,12739) = 1

We will now calculate the prime factors of 12726 and 12739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12726 and 12739.

How to find the GCF of 12726 and 12739?

We will first find the prime factorization of 12726 and 12739. After we will calculate the factors of 12726 and 12739 and find the biggest common factor number .

Step-1: Prime Factorization of 12726

Prime factors of 12726 are 2, 3, 7, 101. Prime factorization of 12726 in exponential form is:

12726 = 2¹ × 3² × 7¹ × 101¹

Step-2: Prime Factorization of 12739

Prime factors of 12739 are 12739. Prime factorization of 12739 in exponential form is:

12739 = 12739¹

Step-3: Factors of 12726

List of positive integer factors of 12726 that divides 12726 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 101, 126, 202, 303, 606, 707, 909, 1414, 1818, 2121, 4242, 6363

Step-4: Factors of 12739

List of positive integer factors of 12739 that divides 12726 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12726 and 12739. The biggest common factor number is the GCF number.
So the greatest common factor 12726 and 12739 is 1.

Also check out the Least Common Multiple of 12726 and 12739