What is the Greatest Common Factor of 80957 and 80977?

Greatest common factor (GCF) of 80957 and 80977 is 1.

GCF(80957,80977) = 1

We will now calculate the prime factors of 80957 and 80977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80957 and 80977.

How to find the GCF of 80957 and 80977?

We will first find the prime factorization of 80957 and 80977. After we will calculate the factors of 80957 and 80977 and find the biggest common factor number .

Step-1: Prime Factorization of 80957

Prime factors of 80957 are 73, 1109. Prime factorization of 80957 in exponential form is:

80957 = 73¹ × 1109¹

Step-2: Prime Factorization of 80977

Prime factors of 80977 are 13, 6229. Prime factorization of 80977 in exponential form is:

80977 = 13¹ × 6229¹

Step-3: Factors of 80957

List of positive integer factors of 80957 that divides 80957 without a remainder.

1, 73, 1109

Step-4: Factors of 80977

List of positive integer factors of 80977 that divides 80957 without a remainder.

1, 13, 6229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80957 and 80977. The biggest common factor number is the GCF number.
So the greatest common factor 80957 and 80977 is 1.

Also check out the Least Common Multiple of 80957 and 80977