What is the Greatest Common Factor of 86960 and 86979?

Greatest common factor (GCF) of 86960 and 86979 is 1.

GCF(86960,86979) = 1

We will now calculate the prime factors of 86960 and 86979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86960 and 86979.

How to find the GCF of 86960 and 86979?

We will first find the prime factorization of 86960 and 86979. After we will calculate the factors of 86960 and 86979 and find the biggest common factor number .

Step-1: Prime Factorization of 86960

Prime factors of 86960 are 2, 5, 1087. Prime factorization of 86960 in exponential form is:

86960 = 2⁴ × 5¹ × 1087¹

Step-2: Prime Factorization of 86979

Prime factors of 86979 are 3, 79, 367. Prime factorization of 86979 in exponential form is:

86979 = 3¹ × 79¹ × 367¹

Step-3: Factors of 86960

List of positive integer factors of 86960 that divides 86960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1087, 2174, 4348, 5435, 8696, 10870, 17392, 21740, 43480

Step-4: Factors of 86979

List of positive integer factors of 86979 that divides 86960 without a remainder.

1, 3, 79, 237, 367, 1101, 28993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86960 and 86979. The biggest common factor number is the GCF number.
So the greatest common factor 86960 and 86979 is 1.

Also check out the Least Common Multiple of 86960 and 86979