What is the Greatest Common Factor of 98000 and 98006?

Greatest common factor (GCF) of 98000 and 98006 is 2.

GCF(98000,98006) = 2

We will now calculate the prime factors of 98000 and 98006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98000 and 98006.

How to find the GCF of 98000 and 98006?

We will first find the prime factorization of 98000 and 98006. After we will calculate the factors of 98000 and 98006 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 98006

Prime factors of 98006 are 2, 49003. Prime factorization of 98006 in exponential form is:

98006 = 2¹ × 49003¹

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 98006

List of positive integer factors of 98006 that divides 98000 without a remainder.

1, 2, 49003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98000 and 98006. The biggest common factor number is the GCF number.
So the greatest common factor 98000 and 98006 is 2.

Also check out the Least Common Multiple of 98000 and 98006