What is the Greatest Common Factor of 99298 and 99317?

Greatest common factor (GCF) of 99298 and 99317 is 1.

GCF(99298,99317) = 1

We will now calculate the prime factors of 99298 and 99317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99298 and 99317.

How to find the GCF of 99298 and 99317?

We will first find the prime factorization of 99298 and 99317. After we will calculate the factors of 99298 and 99317 and find the biggest common factor number .

Step-1: Prime Factorization of 99298

Prime factors of 99298 are 2, 131, 379. Prime factorization of 99298 in exponential form is:

99298 = 2¹ × 131¹ × 379¹

Step-2: Prime Factorization of 99317

Prime factors of 99317 are 99317. Prime factorization of 99317 in exponential form is:

99317 = 99317¹

Step-3: Factors of 99298

List of positive integer factors of 99298 that divides 99298 without a remainder.

1, 2, 131, 262, 379, 758, 49649

Step-4: Factors of 99317

List of positive integer factors of 99317 that divides 99298 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99298 and 99317. The biggest common factor number is the GCF number.
So the greatest common factor 99298 and 99317 is 1.

Also check out the Least Common Multiple of 99298 and 99317