What is the Greatest Common Factor of 76714 and 76723?

Greatest common factor (GCF) of 76714 and 76723 is 1.

GCF(76714,76723) = 1

We will now calculate the prime factors of 76714 and 76723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76714 and 76723.

How to find the GCF of 76714 and 76723?

We will first find the prime factorization of 76714 and 76723. After we will calculate the factors of 76714 and 76723 and find the biggest common factor number .

Step-1: Prime Factorization of 76714

Prime factors of 76714 are 2, 11, 317. Prime factorization of 76714 in exponential form is:

76714 = 2¹ × 11² × 317¹

Step-2: Prime Factorization of 76723

Prime factors of 76723 are 73, 1051. Prime factorization of 76723 in exponential form is:

76723 = 73¹ × 1051¹

Step-3: Factors of 76714

List of positive integer factors of 76714 that divides 76714 without a remainder.

1, 2, 11, 22, 121, 242, 317, 634, 3487, 6974, 38357

Step-4: Factors of 76723

List of positive integer factors of 76723 that divides 76714 without a remainder.

1, 73, 1051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76714 and 76723. The biggest common factor number is the GCF number.
So the greatest common factor 76714 and 76723 is 1.

Also check out the Least Common Multiple of 76714 and 76723