What is the Greatest Common Factor of 98295 and 98310?

Greatest common factor (GCF) of 98295 and 98310 is 15.

GCF(98295,98310) = 15

We will now calculate the prime factors of 98295 and 98310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98295 and 98310.

How to find the GCF of 98295 and 98310?

We will first find the prime factorization of 98295 and 98310. After we will calculate the factors of 98295 and 98310 and find the biggest common factor number .

Step-1: Prime Factorization of 98295

Prime factors of 98295 are 3, 5, 6553. Prime factorization of 98295 in exponential form is:

98295 = 3¹ × 5¹ × 6553¹

Step-2: Prime Factorization of 98310

Prime factors of 98310 are 2, 3, 5, 29, 113. Prime factorization of 98310 in exponential form is:

98310 = 2¹ × 3¹ × 5¹ × 29¹ × 113¹

Step-3: Factors of 98295

List of positive integer factors of 98295 that divides 98295 without a remainder.

1, 3, 5, 15, 6553, 19659, 32765

Step-4: Factors of 98310

List of positive integer factors of 98310 that divides 98295 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 113, 145, 174, 226, 290, 339, 435, 565, 678, 870, 1130, 1695, 3277, 3390, 6554, 9831, 16385, 19662, 32770, 49155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98295 and 98310. The biggest common factor number is the GCF number.
So the greatest common factor 98295 and 98310 is 15.

Also check out the Least Common Multiple of 98295 and 98310