What is the Greatest Common Factor of 99800 and 99809?

Greatest common factor (GCF) of 99800 and 99809 is 1.

GCF(99800,99809) = 1

We will now calculate the prime factors of 99800 and 99809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99800 and 99809.

How to find the GCF of 99800 and 99809?

We will first find the prime factorization of 99800 and 99809. After we will calculate the factors of 99800 and 99809 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 99809

Prime factors of 99809 are 99809. Prime factorization of 99809 in exponential form is:

99809 = 99809¹

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 99809

List of positive integer factors of 99809 that divides 99800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99800 and 99809. The biggest common factor number is the GCF number.
So the greatest common factor 99800 and 99809 is 1.

Also check out the Least Common Multiple of 99800 and 99809