What is the Greatest Common Factor of 65960 and 65977?

Greatest common factor (GCF) of 65960 and 65977 is 17.

GCF(65960,65977) = 17

We will now calculate the prime factors of 65960 and 65977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65960 and 65977.

How to find the GCF of 65960 and 65977?

We will first find the prime factorization of 65960 and 65977. After we will calculate the factors of 65960 and 65977 and find the biggest common factor number .

Step-1: Prime Factorization of 65960

Prime factors of 65960 are 2, 5, 17, 97. Prime factorization of 65960 in exponential form is:

65960 = 2³ × 5¹ × 17¹ × 97¹

Step-2: Prime Factorization of 65977

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

65977 = 17¹ × 3881¹

Step-3: Factors of 65960

List of positive integer factors of 65960 that divides 65960 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 97, 136, 170, 194, 340, 388, 485, 680, 776, 970, 1649, 1940, 3298, 3880, 6596, 8245, 13192, 16490, 32980

Step-4: Factors of 65977

List of positive integer factors of 65977 that divides 65960 without a remainder.

1, 17, 3881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65960 and 65977. The biggest common factor number is the GCF number.
So the greatest common factor 65960 and 65977 is 17.

Also check out the Least Common Multiple of 65960 and 65977