What is the Greatest Common Factor of 79377 and 79392?

Greatest common factor (GCF) of 79377 and 79392 is 3.

GCF(79377,79392) = 3

We will now calculate the prime factors of 79377 and 79392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79377 and 79392.

How to find the GCF of 79377 and 79392?

We will first find the prime factorization of 79377 and 79392. After we will calculate the factors of 79377 and 79392 and find the biggest common factor number .

Step-1: Prime Factorization of 79377

Prime factors of 79377 are 3, 26459. Prime factorization of 79377 in exponential form is:

79377 = 3¹ × 26459¹

Step-2: 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-3: Factors of 79377

List of positive integer factors of 79377 that divides 79377 without a remainder.

1, 3, 26459

Step-4: Factors of 79392

List of positive integer factors of 79392 that divides 79377 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79377 and 79392. The biggest common factor number is the GCF number.
So the greatest common factor 79377 and 79392 is 3.

Also check out the Least Common Multiple of 79377 and 79392