What is the Greatest Common Factor of 98000 and 98020?

Greatest common factor (GCF) of 98000 and 98020 is 20.

GCF(98000,98020) = 20

We will now calculate the prime factors of 98000 and 98020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98000 and 98020.

How to find the GCF of 98000 and 98020?

We will first find the prime factorization of 98000 and 98020. After we will calculate the factors of 98000 and 98020 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 98020

Prime factors of 98020 are 2, 5, 13, 29. Prime factorization of 98020 in exponential form is:

98020 = 2² × 5¹ × 13² × 29¹

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 98020

List of positive integer factors of 98020 that divides 98000 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 169, 260, 290, 338, 377, 580, 676, 754, 845, 1508, 1690, 1885, 3380, 3770, 4901, 7540, 9802, 19604, 24505, 49010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98000 and 98020. The biggest common factor number is the GCF number.
So the greatest common factor 98000 and 98020 is 20.

Also check out the Least Common Multiple of 98000 and 98020