What is the Greatest Common Factor of 79375 and 79385?

Greatest common factor (GCF) of 79375 and 79385 is 5.

GCF(79375,79385) = 5

We will now calculate the prime factors of 79375 and 79385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79375 and 79385.

How to find the GCF of 79375 and 79385?

We will first find the prime factorization of 79375 and 79385. After we will calculate the factors of 79375 and 79385 and find the biggest common factor number .

Step-1: Prime Factorization of 79375

Prime factors of 79375 are 5, 127. Prime factorization of 79375 in exponential form is:

79375 = 5⁴ × 127¹

Step-2: Prime Factorization of 79385

Prime factors of 79385 are 5, 15877. Prime factorization of 79385 in exponential form is:

79385 = 5¹ × 15877¹

Step-3: Factors of 79375

List of positive integer factors of 79375 that divides 79375 without a remainder.

1, 5, 25, 125, 127, 625, 635, 3175, 15875

Step-4: Factors of 79385

List of positive integer factors of 79385 that divides 79375 without a remainder.

1, 5, 15877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79375 and 79385. The biggest common factor number is the GCF number.
So the greatest common factor 79375 and 79385 is 5.

Also check out the Least Common Multiple of 79375 and 79385