What is the Greatest Common Factor of 97987 and 98000?

Greatest common factor (GCF) of 97987 and 98000 is 1.

GCF(97987,98000) = 1

We will now calculate the prime factors of 97987 and 98000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97987 and 98000.

How to find the GCF of 97987 and 98000?

We will first find the prime factorization of 97987 and 98000. After we will calculate the factors of 97987 and 98000 and find the biggest common factor number .

Step-1: Prime Factorization of 97987

Prime factors of 97987 are 97987. Prime factorization of 97987 in exponential form is:

97987 = 97987¹

Step-2: 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-3: Factors of 97987

List of positive integer factors of 97987 that divides 97987 without a remainder.

Step-4: Factors of 98000

List of positive integer factors of 98000 that divides 97987 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97987 and 98000. The biggest common factor number is the GCF number.
So the greatest common factor 97987 and 98000 is 1.

Also check out the Least Common Multiple of 97987 and 98000