What is the Greatest Common Factor of 99928 and 99936?

Greatest common factor (GCF) of 99928 and 99936 is 8.

GCF(99928,99936) = 8

We will now calculate the prime factors of 99928 and 99936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99928 and 99936.

How to find the GCF of 99928 and 99936?

We will first find the prime factorization of 99928 and 99936. After we will calculate the factors of 99928 and 99936 and find the biggest common factor number .

Step-1: Prime Factorization of 99928

Prime factors of 99928 are 2, 12491. Prime factorization of 99928 in exponential form is:

99928 = 2³ × 12491¹

Step-2: Prime Factorization of 99936

Prime factors of 99936 are 2, 3, 347. Prime factorization of 99936 in exponential form is:

99936 = 2⁵ × 3² × 347¹

Step-3: Factors of 99928

List of positive integer factors of 99928 that divides 99928 without a remainder.

1, 2, 4, 8, 12491, 24982, 49964

Step-4: Factors of 99936

List of positive integer factors of 99936 that divides 99928 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 347, 694, 1041, 1388, 2082, 2776, 3123, 4164, 5552, 6246, 8328, 11104, 12492, 16656, 24984, 33312, 49968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99928 and 99936. The biggest common factor number is the GCF number.
So the greatest common factor 99928 and 99936 is 8.

Also check out the Least Common Multiple of 99928 and 99936