What is the Greatest Common Factor of 99888 and 99908?

Greatest common factor (GCF) of 99888 and 99908 is 4.

GCF(99888,99908) = 4

We will now calculate the prime factors of 99888 and 99908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99888 and 99908.

How to find the GCF of 99888 and 99908?

We will first find the prime factorization of 99888 and 99908. After we will calculate the factors of 99888 and 99908 and find the biggest common factor number .

Step-1: Prime Factorization of 99888

Prime factors of 99888 are 2, 3, 2081. Prime factorization of 99888 in exponential form is:

99888 = 2⁴ × 3¹ × 2081¹

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 99888

List of positive integer factors of 99888 that divides 99888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2081, 4162, 6243, 8324, 12486, 16648, 24972, 33296, 49944

Step-4: Factors of 99908

List of positive integer factors of 99908 that divides 99888 without a remainder.

1, 2, 4, 24977, 49954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99888 and 99908. The biggest common factor number is the GCF number.
So the greatest common factor 99888 and 99908 is 4.

Also check out the Least Common Multiple of 99888 and 99908