What is the Greatest Common Factor of 98010 and 98015?

Greatest common factor (GCF) of 98010 and 98015 is 5.

GCF(98010,98015) = 5

We will now calculate the prime factors of 98010 and 98015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98010 and 98015.

How to find the GCF of 98010 and 98015?

We will first find the prime factorization of 98010 and 98015. After we will calculate the factors of 98010 and 98015 and find the biggest common factor number .

Step-1: Prime Factorization of 98010

Prime factors of 98010 are 2, 3, 5, 11. Prime factorization of 98010 in exponential form is:

98010 = 2¹ × 3⁴ × 5¹ × 11²

Step-2: Prime Factorization of 98015

Prime factors of 98015 are 5, 19603. Prime factorization of 98015 in exponential form is:

98015 = 5¹ × 19603¹

Step-3: Factors of 98010

List of positive integer factors of 98010 that divides 98010 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 81, 90, 99, 110, 121, 135, 162, 165, 198, 242, 270, 297, 330, 363, 405, 495, 594, 605, 726, 810, 891, 990, 1089, 1210, 1485, 1782, 1815, 2178, 2970, 3267, 3630, 4455, 5445, 6534, 8910, 9801, 10890, 16335, 19602, 32670, 49005

Step-4: Factors of 98015

List of positive integer factors of 98015 that divides 98010 without a remainder.

1, 5, 19603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98010 and 98015. The biggest common factor number is the GCF number.
So the greatest common factor 98010 and 98015 is 5.

Also check out the Least Common Multiple of 98010 and 98015