What is the Greatest Common Factor of 99924 and 99936?

Greatest common factor (GCF) of 99924 and 99936 is 12.

GCF(99924,99936) = 12

We will now calculate the prime factors of 99924 and 99936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99924 and 99936.

How to find the GCF of 99924 and 99936?

We will first find the prime factorization of 99924 and 99936. After we will calculate the factors of 99924 and 99936 and find the biggest common factor number .

Step-1: Prime Factorization of 99924

Prime factors of 99924 are 2, 3, 11, 757. Prime factorization of 99924 in exponential form is:

99924 = 2² × 3¹ × 11¹ × 757¹

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 99924

List of positive integer factors of 99924 that divides 99924 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 757, 1514, 2271, 3028, 4542, 8327, 9084, 16654, 24981, 33308, 49962

Step-4: Factors of 99936

List of positive integer factors of 99936 that divides 99924 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 99924 and 99936. The biggest common factor number is the GCF number.
So the greatest common factor 99924 and 99936 is 12.

Also check out the Least Common Multiple of 99924 and 99936