What is the Greatest Common Factor of 98115 and 98130?

Greatest common factor (GCF) of 98115 and 98130 is 15.

GCF(98115,98130) = 15

We will now calculate the prime factors of 98115 and 98130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98115 and 98130.

How to find the GCF of 98115 and 98130?

We will first find the prime factorization of 98115 and 98130. After we will calculate the factors of 98115 and 98130 and find the biggest common factor number .

Step-1: Prime Factorization of 98115

Prime factors of 98115 are 3, 5, 31, 211. Prime factorization of 98115 in exponential form is:

98115 = 3¹ × 5¹ × 31¹ × 211¹

Step-2: Prime Factorization of 98130

Prime factors of 98130 are 2, 3, 5, 3271. Prime factorization of 98130 in exponential form is:

98130 = 2¹ × 3¹ × 5¹ × 3271¹

Step-3: Factors of 98115

List of positive integer factors of 98115 that divides 98115 without a remainder.

1, 3, 5, 15, 31, 93, 155, 211, 465, 633, 1055, 3165, 6541, 19623, 32705

Step-4: Factors of 98130

List of positive integer factors of 98130 that divides 98115 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3271, 6542, 9813, 16355, 19626, 32710, 49065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98115 and 98130. The biggest common factor number is the GCF number.
So the greatest common factor 98115 and 98130 is 15.

Also check out the Least Common Multiple of 98115 and 98130