What is the Greatest Common Factor of 79165 and 79185?

Greatest common factor (GCF) of 79165 and 79185 is 5.

GCF(79165,79185) = 5

We will now calculate the prime factors of 79165 and 79185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79165 and 79185.

How to find the GCF of 79165 and 79185?

We will first find the prime factorization of 79165 and 79185. After we will calculate the factors of 79165 and 79185 and find the biggest common factor number .

Step-1: Prime Factorization of 79165

Prime factors of 79165 are 5, 71, 223. Prime factorization of 79165 in exponential form is:

79165 = 5¹ × 71¹ × 223¹

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 79165

List of positive integer factors of 79165 that divides 79165 without a remainder.

1, 5, 71, 223, 355, 1115, 15833

Step-4: Factors of 79185

List of positive integer factors of 79185 that divides 79165 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79165 and 79185. The biggest common factor number is the GCF number.
So the greatest common factor 79165 and 79185 is 5.

Also check out the Least Common Multiple of 79165 and 79185