What is the Greatest Common Factor of 99444 and 99456?

Greatest common factor (GCF) of 99444 and 99456 is 12.

GCF(99444,99456) = 12

We will now calculate the prime factors of 99444 and 99456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99444 and 99456.

How to find the GCF of 99444 and 99456?

We will first find the prime factorization of 99444 and 99456. After we will calculate the factors of 99444 and 99456 and find the biggest common factor number .

Step-1: Prime Factorization of 99444

Prime factors of 99444 are 2, 3, 8287. Prime factorization of 99444 in exponential form is:

99444 = 2² × 3¹ × 8287¹

Step-2: Prime Factorization of 99456

Prime factors of 99456 are 2, 3, 7, 37. Prime factorization of 99456 in exponential form is:

99456 = 2⁷ × 3¹ × 7¹ × 37¹

Step-3: Factors of 99444

List of positive integer factors of 99444 that divides 99444 without a remainder.

1, 2, 3, 4, 6, 12, 8287, 16574, 24861, 33148, 49722

Step-4: Factors of 99456

List of positive integer factors of 99456 that divides 99444 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 37, 42, 48, 56, 64, 74, 84, 96, 111, 112, 128, 148, 168, 192, 222, 224, 259, 296, 336, 384, 444, 448, 518, 592, 672, 777, 888, 896, 1036, 1184, 1344, 1554, 1776, 2072, 2368, 2688, 3108, 3552, 4144, 4736, 6216, 7104, 8288, 12432, 14208, 16576, 24864, 33152, 49728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99444 and 99456. The biggest common factor number is the GCF number.
So the greatest common factor 99444 and 99456 is 12.

Also check out the Least Common Multiple of 99444 and 99456