What is the Greatest Common Factor of 99796 and 99800?

Greatest common factor (GCF) of 99796 and 99800 is 4.

GCF(99796,99800) = 4

We will now calculate the prime factors of 99796 and 99800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99796 and 99800.

How to find the GCF of 99796 and 99800?

We will first find the prime factorization of 99796 and 99800. After we will calculate the factors of 99796 and 99800 and find the biggest common factor number .

Step-1: Prime Factorization of 99796

Prime factors of 99796 are 2, 61, 409. Prime factorization of 99796 in exponential form is:

99796 = 2² × 61¹ × 409¹

Step-2: 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-3: Factors of 99796

List of positive integer factors of 99796 that divides 99796 without a remainder.

1, 2, 4, 61, 122, 244, 409, 818, 1636, 24949, 49898

Step-4: Factors of 99800

List of positive integer factors of 99800 that divides 99796 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99796 and 99800. The biggest common factor number is the GCF number.
So the greatest common factor 99796 and 99800 is 4.

Also check out the Least Common Multiple of 99796 and 99800