What is the Greatest Common Factor of 99800 and 99816?

Greatest common factor (GCF) of 99800 and 99816 is 8.

GCF(99800,99816) = 8

We will now calculate the prime factors of 99800 and 99816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99800 and 99816.

How to find the GCF of 99800 and 99816?

We will first find the prime factorization of 99800 and 99816. After we will calculate the factors of 99800 and 99816 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 99816

Prime factors of 99816 are 2, 3, 4159. Prime factorization of 99816 in exponential form is:

99816 = 2³ × 3¹ × 4159¹

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 99816

List of positive integer factors of 99816 that divides 99800 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4159, 8318, 12477, 16636, 24954, 33272, 49908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99800 and 99816. The biggest common factor number is the GCF number.
So the greatest common factor 99800 and 99816 is 8.

Also check out the Least Common Multiple of 99800 and 99816