What is the Greatest Common Factor of 98010 and 98018?

Greatest common factor (GCF) of 98010 and 98018 is 2.

GCF(98010,98018) = 2

We will now calculate the prime factors of 98010 and 98018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98010 and 98018.

How to find the GCF of 98010 and 98018?

We will first find the prime factorization of 98010 and 98018. After we will calculate the factors of 98010 and 98018 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 98018

Prime factors of 98018 are 2, 49009. Prime factorization of 98018 in exponential form is:

98018 = 2¹ × 49009¹

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 98018

List of positive integer factors of 98018 that divides 98010 without a remainder.

1, 2, 49009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98010 and 98018. The biggest common factor number is the GCF number.
So the greatest common factor 98010 and 98018 is 2.

Also check out the Least Common Multiple of 98010 and 98018