What is the Greatest Common Factor of 79175 and 79180?

Greatest common factor (GCF) of 79175 and 79180 is 5.

GCF(79175,79180) = 5

We will now calculate the prime factors of 79175 and 79180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79175 and 79180.

How to find the GCF of 79175 and 79180?

We will first find the prime factorization of 79175 and 79180. After we will calculate the factors of 79175 and 79180 and find the biggest common factor number .

Step-1: Prime Factorization of 79175

Prime factors of 79175 are 5, 3167. Prime factorization of 79175 in exponential form is:

79175 = 5² × 3167¹

Step-2: Prime Factorization of 79180

Prime factors of 79180 are 2, 5, 37, 107. Prime factorization of 79180 in exponential form is:

79180 = 2² × 5¹ × 37¹ × 107¹

Step-3: Factors of 79175

List of positive integer factors of 79175 that divides 79175 without a remainder.

1, 5, 25, 3167, 15835

Step-4: Factors of 79180

List of positive integer factors of 79180 that divides 79175 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 107, 148, 185, 214, 370, 428, 535, 740, 1070, 2140, 3959, 7918, 15836, 19795, 39590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79175 and 79180. The biggest common factor number is the GCF number.
So the greatest common factor 79175 and 79180 is 5.

Also check out the Least Common Multiple of 79175 and 79180