What is the Greatest Common Factor of 98000 and 98005?

Greatest common factor (GCF) of 98000 and 98005 is 5.

GCF(98000,98005) = 5

We will now calculate the prime factors of 98000 and 98005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98000 and 98005.

How to find the GCF of 98000 and 98005?

We will first find the prime factorization of 98000 and 98005. After we will calculate the factors of 98000 and 98005 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 98005

Prime factors of 98005 are 5, 17, 1153. Prime factorization of 98005 in exponential form is:

98005 = 5¹ × 17¹ × 1153¹

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 98005

List of positive integer factors of 98005 that divides 98000 without a remainder.

1, 5, 17, 85, 1153, 5765, 19601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98000 and 98005. The biggest common factor number is the GCF number.
So the greatest common factor 98000 and 98005 is 5.

Also check out the Least Common Multiple of 98000 and 98005