What is the Greatest Common Factor of 76984 and 76997?

Greatest common factor (GCF) of 76984 and 76997 is 1.

GCF(76984,76997) = 1

We will now calculate the prime factors of 76984 and 76997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76984 and 76997.

How to find the GCF of 76984 and 76997?

We will first find the prime factorization of 76984 and 76997. After we will calculate the factors of 76984 and 76997 and find the biggest common factor number .

Step-1: Prime Factorization of 76984

Prime factors of 76984 are 2, 9623. Prime factorization of 76984 in exponential form is:

76984 = 2³ × 9623¹

Step-2: Prime Factorization of 76997

Prime factors of 76997 are 37, 2081. Prime factorization of 76997 in exponential form is:

76997 = 37¹ × 2081¹

Step-3: Factors of 76984

List of positive integer factors of 76984 that divides 76984 without a remainder.

1, 2, 4, 8, 9623, 19246, 38492

Step-4: Factors of 76997

List of positive integer factors of 76997 that divides 76984 without a remainder.

1, 37, 2081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76984 and 76997. The biggest common factor number is the GCF number.
So the greatest common factor 76984 and 76997 is 1.

Also check out the Least Common Multiple of 76984 and 76997