What is the Greatest Common Factor of 98415 and 98430?

Greatest common factor (GCF) of 98415 and 98430 is 15.

GCF(98415,98430) = 15

We will now calculate the prime factors of 98415 and 98430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98415 and 98430.

How to find the GCF of 98415 and 98430?

We will first find the prime factorization of 98415 and 98430. After we will calculate the factors of 98415 and 98430 and find the biggest common factor number .

Step-1: Prime Factorization of 98415

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

98415 = 3⁹ × 5¹

Step-2: Prime Factorization of 98430

Prime factors of 98430 are 2, 3, 5, 17, 193. Prime factorization of 98430 in exponential form is:

98430 = 2¹ × 3¹ × 5¹ × 17¹ × 193¹

Step-3: Factors of 98415

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

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

Step-4: Factors of 98430

List of positive integer factors of 98430 that divides 98415 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 193, 255, 386, 510, 579, 965, 1158, 1930, 2895, 3281, 5790, 6562, 9843, 16405, 19686, 32810, 49215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98415 and 98430. The biggest common factor number is the GCF number.
So the greatest common factor 98415 and 98430 is 15.

Also check out the Least Common Multiple of 98415 and 98430