What is the Greatest Common Factor of 76672 and 76679?

Greatest common factor (GCF) of 76672 and 76679 is 1.

GCF(76672,76679) = 1

We will now calculate the prime factors of 76672 and 76679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76672 and 76679.

How to find the GCF of 76672 and 76679?

We will first find the prime factorization of 76672 and 76679. After we will calculate the factors of 76672 and 76679 and find the biggest common factor number .

Step-1: Prime Factorization of 76672

Prime factors of 76672 are 2, 599. Prime factorization of 76672 in exponential form is:

76672 = 2⁷ × 599¹

Step-2: Prime Factorization of 76679

Prime factors of 76679 are 76679. Prime factorization of 76679 in exponential form is:

76679 = 76679¹

Step-3: Factors of 76672

List of positive integer factors of 76672 that divides 76672 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 599, 1198, 2396, 4792, 9584, 19168, 38336

Step-4: Factors of 76679

List of positive integer factors of 76679 that divides 76672 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76672 and 76679. The biggest common factor number is the GCF number.
So the greatest common factor 76672 and 76679 is 1.

Also check out the Least Common Multiple of 76672 and 76679