What is the Greatest Common Factor of 99936 and 99948?

Greatest common factor (GCF) of 99936 and 99948 is 12.

GCF(99936,99948) = 12

We will now calculate the prime factors of 99936 and 99948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99936 and 99948.

How to find the GCF of 99936 and 99948?

We will first find the prime factorization of 99936 and 99948. After we will calculate the factors of 99936 and 99948 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99948

Prime factors of 99948 are 2, 3, 8329. Prime factorization of 99948 in exponential form is:

99948 = 2² × 3¹ × 8329¹

Step-3: Factors of 99936

List of positive integer factors of 99936 that divides 99936 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

Step-4: Factors of 99948

List of positive integer factors of 99948 that divides 99936 without a remainder.

1, 2, 3, 4, 6, 12, 8329, 16658, 24987, 33316, 49974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99936 and 99948. The biggest common factor number is the GCF number.
So the greatest common factor 99936 and 99948 is 12.

Also check out the Least Common Multiple of 99936 and 99948