What is the Greatest Common Factor of 79385 and 79400?

Greatest common factor (GCF) of 79385 and 79400 is 5.

GCF(79385,79400) = 5

We will now calculate the prime factors of 79385 and 79400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79385 and 79400.

How to find the GCF of 79385 and 79400?

We will first find the prime factorization of 79385 and 79400. After we will calculate the factors of 79385 and 79400 and find the biggest common factor number .

Step-1: Prime Factorization of 79385

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

79385 = 5¹ × 15877¹

Step-2: Prime Factorization of 79400

Prime factors of 79400 are 2, 5, 397. Prime factorization of 79400 in exponential form is:

79400 = 2³ × 5² × 397¹

Step-3: Factors of 79385

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

1, 5, 15877

Step-4: Factors of 79400

List of positive integer factors of 79400 that divides 79385 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 397, 794, 1588, 1985, 3176, 3970, 7940, 9925, 15880, 19850, 39700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79385 and 79400. The biggest common factor number is the GCF number.
So the greatest common factor 79385 and 79400 is 5.

Also check out the Least Common Multiple of 79385 and 79400