What is the Greatest Common Factor of 99800 and 99815?

Greatest common factor (GCF) of 99800 and 99815 is 5.

GCF(99800,99815) = 5

We will now calculate the prime factors of 99800 and 99815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99800 and 99815.

How to find the GCF of 99800 and 99815?

We will first find the prime factorization of 99800 and 99815. After we will calculate the factors of 99800 and 99815 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 99815

Prime factors of 99815 are 5, 19963. Prime factorization of 99815 in exponential form is:

99815 = 5¹ × 19963¹

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 99815

List of positive integer factors of 99815 that divides 99800 without a remainder.

1, 5, 19963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99800 and 99815. The biggest common factor number is the GCF number.
So the greatest common factor 99800 and 99815 is 5.

Also check out the Least Common Multiple of 99800 and 99815