What is the Greatest Common Factor of 96309 and 96328?

Greatest common factor (GCF) of 96309 and 96328 is 1.

GCF(96309,96328) = 1

We will now calculate the prime factors of 96309 and 96328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96309 and 96328.

How to find the GCF of 96309 and 96328?

We will first find the prime factorization of 96309 and 96328. After we will calculate the factors of 96309 and 96328 and find the biggest common factor number .

Step-1: Prime Factorization of 96309

Prime factors of 96309 are 3, 29, 41. Prime factorization of 96309 in exponential form is:

96309 = 3⁴ × 29¹ × 41¹

Step-2: Prime Factorization of 96328

Prime factors of 96328 are 2, 12041. Prime factorization of 96328 in exponential form is:

96328 = 2³ × 12041¹

Step-3: Factors of 96309

List of positive integer factors of 96309 that divides 96309 without a remainder.

1, 3, 9, 27, 29, 41, 81, 87, 123, 261, 369, 783, 1107, 1189, 2349, 3321, 3567, 10701, 32103

Step-4: Factors of 96328

List of positive integer factors of 96328 that divides 96309 without a remainder.

1, 2, 4, 8, 12041, 24082, 48164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96309 and 96328. The biggest common factor number is the GCF number.
So the greatest common factor 96309 and 96328 is 1.

Also check out the Least Common Multiple of 96309 and 96328