What is the Greatest Common Factor of 79315 and 79328?

Greatest common factor (GCF) of 79315 and 79328 is 1.

GCF(79315,79328) = 1

We will now calculate the prime factors of 79315 and 79328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79315 and 79328.

How to find the GCF of 79315 and 79328?

We will first find the prime factorization of 79315 and 79328. After we will calculate the factors of 79315 and 79328 and find the biggest common factor number .

Step-1: Prime Factorization of 79315

Prime factors of 79315 are 5, 29, 547. Prime factorization of 79315 in exponential form is:

79315 = 5¹ × 29¹ × 547¹

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 79315

List of positive integer factors of 79315 that divides 79315 without a remainder.

1, 5, 29, 145, 547, 2735, 15863

Step-4: Factors of 79328

List of positive integer factors of 79328 that divides 79315 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 79315 and 79328. The biggest common factor number is the GCF number.
So the greatest common factor 79315 and 79328 is 1.

Also check out the Least Common Multiple of 79315 and 79328