What is the Greatest Common Factor of 79160 and 79165?

Greatest common factor (GCF) of 79160 and 79165 is 5.

GCF(79160,79165) = 5

We will now calculate the prime factors of 79160 and 79165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79160 and 79165.

How to find the GCF of 79160 and 79165?

We will first find the prime factorization of 79160 and 79165. After we will calculate the factors of 79160 and 79165 and find the biggest common factor number .

Step-1: Prime Factorization of 79160

Prime factors of 79160 are 2, 5, 1979. Prime factorization of 79160 in exponential form is:

79160 = 2³ × 5¹ × 1979¹

Step-2: 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-3: Factors of 79160

List of positive integer factors of 79160 that divides 79160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1979, 3958, 7916, 9895, 15832, 19790, 39580

Step-4: Factors of 79165

List of positive integer factors of 79165 that divides 79160 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79160 and 79165. The biggest common factor number is the GCF number.
So the greatest common factor 79160 and 79165 is 5.

Also check out the Least Common Multiple of 79160 and 79165