What is the Greatest Common Factor of 98415 and 98421?

Greatest common factor (GCF) of 98415 and 98421 is 3.

GCF(98415,98421) = 3

We will now calculate the prime factors of 98415 and 98421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98415 and 98421.

How to find the GCF of 98415 and 98421?

We will first find the prime factorization of 98415 and 98421. After we will calculate the factors of 98415 and 98421 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 98421

Prime factors of 98421 are 3, 53, 619. Prime factorization of 98421 in exponential form is:

98421 = 3¹ × 53¹ × 619¹

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 98421

List of positive integer factors of 98421 that divides 98415 without a remainder.

1, 3, 53, 159, 619, 1857, 32807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98415 and 98421. The biggest common factor number is the GCF number.
So the greatest common factor 98415 and 98421 is 3.

Also check out the Least Common Multiple of 98415 and 98421