What is the Greatest Common Factor of 99898 and 99908?

Greatest common factor (GCF) of 99898 and 99908 is 2.

GCF(99898,99908) = 2

We will now calculate the prime factors of 99898 and 99908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99898 and 99908.

How to find the GCF of 99898 and 99908?

We will first find the prime factorization of 99898 and 99908. After we will calculate the factors of 99898 and 99908 and find the biggest common factor number .

Step-1: Prime Factorization of 99898

Prime factors of 99898 are 2, 199, 251. Prime factorization of 99898 in exponential form is:

99898 = 2¹ × 199¹ × 251¹

Step-2: Prime Factorization of 99908

Prime factors of 99908 are 2, 24977. Prime factorization of 99908 in exponential form is:

99908 = 2² × 24977¹

Step-3: Factors of 99898

List of positive integer factors of 99898 that divides 99898 without a remainder.

1, 2, 199, 251, 398, 502, 49949

Step-4: Factors of 99908

List of positive integer factors of 99908 that divides 99898 without a remainder.

1, 2, 4, 24977, 49954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99898 and 99908. The biggest common factor number is the GCF number.
So the greatest common factor 99898 and 99908 is 2.

Also check out the Least Common Multiple of 99898 and 99908