What is the Greatest Common Factor of 97988 and 98000?

Greatest common factor (GCF) of 97988 and 98000 is 4.

GCF(97988,98000) = 4

We will now calculate the prime factors of 97988 and 98000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97988 and 98000.

How to find the GCF of 97988 and 98000?

We will first find the prime factorization of 97988 and 98000. After we will calculate the factors of 97988 and 98000 and find the biggest common factor number .

Step-1: Prime Factorization of 97988

Prime factors of 97988 are 2, 11, 17, 131. Prime factorization of 97988 in exponential form is:

97988 = 2² × 11¹ × 17¹ × 131¹

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 97988

List of positive integer factors of 97988 that divides 97988 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 131, 187, 262, 374, 524, 748, 1441, 2227, 2882, 4454, 5764, 8908, 24497, 48994

Step-4: Factors of 98000

List of positive integer factors of 98000 that divides 97988 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 97988 and 98000. The biggest common factor number is the GCF number.
So the greatest common factor 97988 and 98000 is 4.

Also check out the Least Common Multiple of 97988 and 98000