What is the Greatest Common Factor of 76713 and 76726?

Greatest common factor (GCF) of 76713 and 76726 is 13.

GCF(76713,76726) = 13

We will now calculate the prime factors of 76713 and 76726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76713 and 76726.

How to find the GCF of 76713 and 76726?

We will first find the prime factorization of 76713 and 76726. After we will calculate the factors of 76713 and 76726 and find the biggest common factor number .

Step-1: Prime Factorization of 76713

Prime factors of 76713 are 3, 7, 13, 281. Prime factorization of 76713 in exponential form is:

76713 = 3¹ × 7¹ × 13¹ × 281¹

Step-2: Prime Factorization of 76726

Prime factors of 76726 are 2, 13, 227. Prime factorization of 76726 in exponential form is:

76726 = 2¹ × 13² × 227¹

Step-3: Factors of 76713

List of positive integer factors of 76713 that divides 76713 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 281, 843, 1967, 3653, 5901, 10959, 25571

Step-4: Factors of 76726

List of positive integer factors of 76726 that divides 76713 without a remainder.

1, 2, 13, 26, 169, 227, 338, 454, 2951, 5902, 38363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76713 and 76726. The biggest common factor number is the GCF number.
So the greatest common factor 76713 and 76726 is 13.

Also check out the Least Common Multiple of 76713 and 76726