What is the Greatest Common Factor of 98000 and 98010?

Greatest common factor (GCF) of 98000 and 98010 is 10.

GCF(98000,98010) = 10

We will now calculate the prime factors of 98000 and 98010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98000 and 98010.

How to find the GCF of 98000 and 98010?

We will first find the prime factorization of 98000 and 98010. After we will calculate the factors of 98000 and 98010 and find the biggest common factor number .

Step-1: Prime Factorization of 98000

Prime factors of 98000 are 2, 5, 7. Prime factorization of 98000 in exponential form is:

98000 = 2⁴ × 5³ × 7²

Step-2: 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-3: Factors of 98000

List of positive integer factors of 98000 that divides 98000 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 49, 50, 56, 70, 80, 98, 100, 112, 125, 140, 175, 196, 200, 245, 250, 280, 350, 392, 400, 490, 500, 560, 700, 784, 875, 980, 1000, 1225, 1400, 1750, 1960, 2000, 2450, 2800, 3500, 3920, 4900, 6125, 7000, 9800, 12250, 14000, 19600, 24500, 49000

Step-4: Factors of 98010

List of positive integer factors of 98010 that divides 98000 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98000 and 98010. The biggest common factor number is the GCF number.
So the greatest common factor 98000 and 98010 is 10.

Also check out the Least Common Multiple of 98000 and 98010