What is the Greatest Common Factor of 79180 and 79185?

Greatest common factor (GCF) of 79180 and 79185 is 5.

GCF(79180,79185) = 5

We will now calculate the prime factors of 79180 and 79185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79180 and 79185.

How to find the GCF of 79180 and 79185?

We will first find the prime factorization of 79180 and 79185. After we will calculate the factors of 79180 and 79185 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79185

Prime factors of 79185 are 3, 5, 5279. Prime factorization of 79185 in exponential form is:

79185 = 3¹ × 5¹ × 5279¹

Step-3: Factors of 79180

List of positive integer factors of 79180 that divides 79180 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

Step-4: Factors of 79185

List of positive integer factors of 79185 that divides 79180 without a remainder.

1, 3, 5, 15, 5279, 15837, 26395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79180 and 79185. The biggest common factor number is the GCF number.
So the greatest common factor 79180 and 79185 is 5.

Also check out the Least Common Multiple of 79180 and 79185