What is the Greatest Common Factor of 79312 and 79328?

Greatest common factor (GCF) of 79312 and 79328 is 16.

GCF(79312,79328) = 16

We will now calculate the prime factors of 79312 and 79328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79312 and 79328.

How to find the GCF of 79312 and 79328?

We will first find the prime factorization of 79312 and 79328. After we will calculate the factors of 79312 and 79328 and find the biggest common factor number .

Step-1: Prime Factorization of 79312

Prime factors of 79312 are 2, 4957. Prime factorization of 79312 in exponential form is:

79312 = 2⁴ × 4957¹

Step-2: Prime Factorization of 79328

Prime factors of 79328 are 2, 37, 67. Prime factorization of 79328 in exponential form is:

79328 = 2⁵ × 37¹ × 67¹

Step-3: Factors of 79312

List of positive integer factors of 79312 that divides 79312 without a remainder.

1, 2, 4, 8, 16, 4957, 9914, 19828, 39656

Step-4: Factors of 79328

List of positive integer factors of 79328 that divides 79312 without a remainder.

1, 2, 4, 8, 16, 32, 37, 67, 74, 134, 148, 268, 296, 536, 592, 1072, 1184, 2144, 2479, 4958, 9916, 19832, 39664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79312 and 79328. The biggest common factor number is the GCF number.
So the greatest common factor 79312 and 79328 is 16.

Also check out the Least Common Multiple of 79312 and 79328