What is the Greatest Common Factor of 96309 and 96322?

Greatest common factor (GCF) of 96309 and 96322 is 1.

GCF(96309,96322) = 1

We will now calculate the prime factors of 96309 and 96322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96309 and 96322.

How to find the GCF of 96309 and 96322?

We will first find the prime factorization of 96309 and 96322. After we will calculate the factors of 96309 and 96322 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 96322

Prime factors of 96322 are 2, 17, 2833. Prime factorization of 96322 in exponential form is:

96322 = 2¹ × 17¹ × 2833¹

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 96322

List of positive integer factors of 96322 that divides 96309 without a remainder.

1, 2, 17, 34, 2833, 5666, 48161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96309 and 96322. The biggest common factor number is the GCF number.
So the greatest common factor 96309 and 96322 is 1.

Also check out the Least Common Multiple of 96309 and 96322