What is the Greatest Common Factor of 76963 and 76982?

Greatest common factor (GCF) of 76963 and 76982 is 1.

GCF(76963,76982) = 1

We will now calculate the prime factors of 76963 and 76982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76963 and 76982.

How to find the GCF of 76963 and 76982?

We will first find the prime factorization of 76963 and 76982. After we will calculate the factors of 76963 and 76982 and find the biggest common factor number .

Step-1: Prime Factorization of 76963

Prime factors of 76963 are 76963. Prime factorization of 76963 in exponential form is:

76963 = 76963¹

Step-2: Prime Factorization of 76982

Prime factors of 76982 are 2, 61, 631. Prime factorization of 76982 in exponential form is:

76982 = 2¹ × 61¹ × 631¹

Step-3: Factors of 76963

List of positive integer factors of 76963 that divides 76963 without a remainder.

Step-4: Factors of 76982

List of positive integer factors of 76982 that divides 76963 without a remainder.

1, 2, 61, 122, 631, 1262, 38491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76963 and 76982. The biggest common factor number is the GCF number.
So the greatest common factor 76963 and 76982 is 1.

Also check out the Least Common Multiple of 76963 and 76982