What is the Greatest Common Factor of 96298 and 96309?

Greatest common factor (GCF) of 96298 and 96309 is 1.

GCF(96298,96309) = 1

We will now calculate the prime factors of 96298 and 96309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96298 and 96309.

How to find the GCF of 96298 and 96309?

We will first find the prime factorization of 96298 and 96309. After we will calculate the factors of 96298 and 96309 and find the biggest common factor number .

Step-1: Prime Factorization of 96298

Prime factors of 96298 are 2, 89, 541. Prime factorization of 96298 in exponential form is:

96298 = 2¹ × 89¹ × 541¹

Step-2: 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-3: Factors of 96298

List of positive integer factors of 96298 that divides 96298 without a remainder.

1, 2, 89, 178, 541, 1082, 48149

Step-4: Factors of 96309

List of positive integer factors of 96309 that divides 96298 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96298 and 96309. The biggest common factor number is the GCF number.
So the greatest common factor 96298 and 96309 is 1.

Also check out the Least Common Multiple of 96298 and 96309