What is the Greatest Common Factor of 76987 and 76997?

Greatest common factor (GCF) of 76987 and 76997 is 1.

GCF(76987,76997) = 1

We will now calculate the prime factors of 76987 and 76997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76987 and 76997.

How to find the GCF of 76987 and 76997?

We will first find the prime factorization of 76987 and 76997. After we will calculate the factors of 76987 and 76997 and find the biggest common factor number .

Step-1: Prime Factorization of 76987

Prime factors of 76987 are 167, 461. Prime factorization of 76987 in exponential form is:

76987 = 167¹ × 461¹

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 76987

List of positive integer factors of 76987 that divides 76987 without a remainder.

1, 167, 461

Step-4: Factors of 76997

List of positive integer factors of 76997 that divides 76987 without a remainder.

1, 37, 2081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76987 and 76997. The biggest common factor number is the GCF number.
So the greatest common factor 76987 and 76997 is 1.

Also check out the Least Common Multiple of 76987 and 76997