What is the Greatest Common Factor of 79392 and 79400?

Greatest common factor (GCF) of 79392 and 79400 is 8.

GCF(79392,79400) = 8

We will now calculate the prime factors of 79392 and 79400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79392 and 79400.

How to find the GCF of 79392 and 79400?

We will first find the prime factorization of 79392 and 79400. After we will calculate the factors of 79392 and 79400 and find the biggest common factor number .

Step-1: Prime Factorization of 79392

Prime factors of 79392 are 2, 3, 827. Prime factorization of 79392 in exponential form is:

79392 = 2⁵ × 3¹ × 827¹

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 79392

List of positive integer factors of 79392 that divides 79392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 827, 1654, 2481, 3308, 4962, 6616, 9924, 13232, 19848, 26464, 39696

Step-4: Factors of 79400

List of positive integer factors of 79400 that divides 79392 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 79392 and 79400. The biggest common factor number is the GCF number.
So the greatest common factor 79392 and 79400 is 8.

Also check out the Least Common Multiple of 79392 and 79400