What is the Greatest Common Factor of 79372 and 79392?

Greatest common factor (GCF) of 79372 and 79392 is 4.

GCF(79372,79392) = 4

We will now calculate the prime factors of 79372 and 79392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79372 and 79392.

How to find the GCF of 79372 and 79392?

We will first find the prime factorization of 79372 and 79392. After we will calculate the factors of 79372 and 79392 and find the biggest common factor number .

Step-1: Prime Factorization of 79372

Prime factors of 79372 are 2, 19843. Prime factorization of 79372 in exponential form is:

79372 = 2² × 19843¹

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 79372

List of positive integer factors of 79372 that divides 79372 without a remainder.

1, 2, 4, 19843, 39686

Step-4: Factors of 79392

List of positive integer factors of 79392 that divides 79372 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 79372 and 79392. The biggest common factor number is the GCF number.
So the greatest common factor 79372 and 79392 is 4.

Also check out the Least Common Multiple of 79372 and 79392