What is the Greatest Common Factor of 96309 and 96323?

Greatest common factor (GCF) of 96309 and 96323 is 1.

GCF(96309,96323) = 1

We will now calculate the prime factors of 96309 and 96323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96309 and 96323.

How to find the GCF of 96309 and 96323?

We will first find the prime factorization of 96309 and 96323. After we will calculate the factors of 96309 and 96323 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 96323

Prime factors of 96323 are 96323. Prime factorization of 96323 in exponential form is:

96323 = 96323¹

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 96323

List of positive integer factors of 96323 that divides 96309 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96309 and 96323. The biggest common factor number is the GCF number.
So the greatest common factor 96309 and 96323 is 1.

Also check out the Least Common Multiple of 96309 and 96323