What is the Greatest Common Factor of 76966 and 76979?

Greatest common factor (GCF) of 76966 and 76979 is 1.

GCF(76966,76979) = 1

We will now calculate the prime factors of 76966 and 76979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76966 and 76979.

How to find the GCF of 76966 and 76979?

We will first find the prime factorization of 76966 and 76979. After we will calculate the factors of 76966 and 76979 and find the biggest common factor number .

Step-1: Prime Factorization of 76966

Prime factors of 76966 are 2, 29, 1327. Prime factorization of 76966 in exponential form is:

76966 = 2¹ × 29¹ × 1327¹

Step-2: Prime Factorization of 76979

Prime factors of 76979 are 7, 1571. Prime factorization of 76979 in exponential form is:

76979 = 7² × 1571¹

Step-3: Factors of 76966

List of positive integer factors of 76966 that divides 76966 without a remainder.

1, 2, 29, 58, 1327, 2654, 38483

Step-4: Factors of 76979

List of positive integer factors of 76979 that divides 76966 without a remainder.

1, 7, 49, 1571, 10997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76966 and 76979. The biggest common factor number is the GCF number.
So the greatest common factor 76966 and 76979 is 1.

Also check out the Least Common Multiple of 76966 and 76979