What is the Greatest Common Factor of 96309 and 96326?

Greatest common factor (GCF) of 96309 and 96326 is 1.

GCF(96309,96326) = 1

We will now calculate the prime factors of 96309 and 96326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96309 and 96326.

How to find the GCF of 96309 and 96326?

We will first find the prime factorization of 96309 and 96326. After we will calculate the factors of 96309 and 96326 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 96326

Prime factors of 96326 are 2, 48163. Prime factorization of 96326 in exponential form is:

96326 = 2¹ × 48163¹

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 96326

List of positive integer factors of 96326 that divides 96309 without a remainder.

1, 2, 48163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96309 and 96326. The biggest common factor number is the GCF number.
So the greatest common factor 96309 and 96326 is 1.

Also check out the Least Common Multiple of 96309 and 96326