What is the Greatest Common Factor of 76707 and 76713?

Greatest common factor (GCF) of 76707 and 76713 is 3.

GCF(76707,76713) = 3

We will now calculate the prime factors of 76707 and 76713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76707 and 76713.

How to find the GCF of 76707 and 76713?

We will first find the prime factorization of 76707 and 76713. After we will calculate the factors of 76707 and 76713 and find the biggest common factor number .

Step-1: Prime Factorization of 76707

Prime factors of 76707 are 3, 947. Prime factorization of 76707 in exponential form is:

76707 = 3⁴ × 947¹

Step-2: 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-3: Factors of 76707

List of positive integer factors of 76707 that divides 76707 without a remainder.

1, 3, 9, 27, 81, 947, 2841, 8523, 25569

Step-4: Factors of 76713

List of positive integer factors of 76713 that divides 76707 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76707 and 76713. The biggest common factor number is the GCF number.
So the greatest common factor 76707 and 76713 is 3.

Also check out the Least Common Multiple of 76707 and 76713