What is the Greatest Common Factor of 99800 and 99808?

Greatest common factor (GCF) of 99800 and 99808 is 8.

GCF(99800,99808) = 8

We will now calculate the prime factors of 99800 and 99808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99800 and 99808.

How to find the GCF of 99800 and 99808?

We will first find the prime factorization of 99800 and 99808. After we will calculate the factors of 99800 and 99808 and find the biggest common factor number .

Step-1: Prime Factorization of 99800

Prime factors of 99800 are 2, 5, 499. Prime factorization of 99800 in exponential form is:

99800 = 2³ × 5² × 499¹

Step-2: Prime Factorization of 99808

Prime factors of 99808 are 2, 3119. Prime factorization of 99808 in exponential form is:

99808 = 2⁵ × 3119¹

Step-3: Factors of 99800

List of positive integer factors of 99800 that divides 99800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 499, 998, 1996, 2495, 3992, 4990, 9980, 12475, 19960, 24950, 49900

Step-4: Factors of 99808

List of positive integer factors of 99808 that divides 99800 without a remainder.

1, 2, 4, 8, 16, 32, 3119, 6238, 12476, 24952, 49904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99800 and 99808. The biggest common factor number is the GCF number.
So the greatest common factor 99800 and 99808 is 8.

Also check out the Least Common Multiple of 99800 and 99808