What is the Greatest Common Factor of 98010 and 98021?

Greatest common factor (GCF) of 98010 and 98021 is 11.

GCF(98010,98021) = 11

We will now calculate the prime factors of 98010 and 98021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98010 and 98021.

How to find the GCF of 98010 and 98021?

We will first find the prime factorization of 98010 and 98021. After we will calculate the factors of 98010 and 98021 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 98021

Prime factors of 98021 are 7, 11, 19, 67. Prime factorization of 98021 in exponential form is:

98021 = 7¹ × 11¹ × 19¹ × 67¹

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 98021

List of positive integer factors of 98021 that divides 98010 without a remainder.

1, 7, 11, 19, 67, 77, 133, 209, 469, 737, 1273, 1463, 5159, 8911, 14003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98010 and 98021. The biggest common factor number is the GCF number.
So the greatest common factor 98010 and 98021 is 11.

Also check out the Least Common Multiple of 98010 and 98021