What is the Greatest Common Factor of 65977 and 65981?

Greatest common factor (GCF) of 65977 and 65981 is 1.

GCF(65977,65981) = 1

We will now calculate the prime factors of 65977 and 65981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65977 and 65981.

How to find the GCF of 65977 and 65981?

We will first find the prime factorization of 65977 and 65981. After we will calculate the factors of 65977 and 65981 and find the biggest common factor number .

Step-1: Prime Factorization of 65977

Prime factors of 65977 are 17, 3881. Prime factorization of 65977 in exponential form is:

65977 = 17¹ × 3881¹

Step-2: Prime Factorization of 65981

Prime factors of 65981 are 65981. Prime factorization of 65981 in exponential form is:

65981 = 65981¹

Step-3: Factors of 65977

List of positive integer factors of 65977 that divides 65977 without a remainder.

1, 17, 3881

Step-4: Factors of 65981

List of positive integer factors of 65981 that divides 65977 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65977 and 65981. The biggest common factor number is the GCF number.
So the greatest common factor 65977 and 65981 is 1.

Also check out the Least Common Multiple of 65977 and 65981