What is the Greatest Common Factor of 79660 and 79675?

Greatest common factor (GCF) of 79660 and 79675 is 5.

GCF(79660,79675) = 5

We will now calculate the prime factors of 79660 and 79675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79660 and 79675.

How to find the GCF of 79660 and 79675?

We will first find the prime factorization of 79660 and 79675. After we will calculate the factors of 79660 and 79675 and find the biggest common factor number .

Step-1: Prime Factorization of 79660

Prime factors of 79660 are 2, 5, 7, 569. Prime factorization of 79660 in exponential form is:

79660 = 2² × 5¹ × 7¹ × 569¹

Step-2: Prime Factorization of 79675

Prime factors of 79675 are 5, 3187. Prime factorization of 79675 in exponential form is:

79675 = 5² × 3187¹

Step-3: Factors of 79660

List of positive integer factors of 79660 that divides 79660 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 569, 1138, 2276, 2845, 3983, 5690, 7966, 11380, 15932, 19915, 39830

Step-4: Factors of 79675

List of positive integer factors of 79675 that divides 79660 without a remainder.

1, 5, 25, 3187, 15935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79660 and 79675. The biggest common factor number is the GCF number.
So the greatest common factor 79660 and 79675 is 5.

Also check out the Least Common Multiple of 79660 and 79675