What is the Greatest Common Factor of 98397 and 98415?

Greatest common factor (GCF) of 98397 and 98415 is 9.

GCF(98397,98415) = 9

We will now calculate the prime factors of 98397 and 98415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98397 and 98415.

How to find the GCF of 98397 and 98415?

We will first find the prime factorization of 98397 and 98415. After we will calculate the factors of 98397 and 98415 and find the biggest common factor number .

Step-1: Prime Factorization of 98397

Prime factors of 98397 are 3, 13, 29. Prime factorization of 98397 in exponential form is:

98397 = 3² × 13¹ × 29²

Step-2: Prime Factorization of 98415

Prime factors of 98415 are 3, 5. Prime factorization of 98415 in exponential form is:

98415 = 3⁹ × 5¹

Step-3: Factors of 98397

List of positive integer factors of 98397 that divides 98397 without a remainder.

1, 3, 9, 13, 29, 39, 87, 117, 261, 377, 841, 1131, 2523, 3393, 7569, 10933, 32799

Step-4: Factors of 98415

List of positive integer factors of 98415 that divides 98397 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215, 2187, 3645, 6561, 10935, 19683, 32805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98397 and 98415. The biggest common factor number is the GCF number.
So the greatest common factor 98397 and 98415 is 9.

Also check out the Least Common Multiple of 98397 and 98415