What is the Greatest Common Factor of 99436 and 99456?

Greatest common factor (GCF) of 99436 and 99456 is 4.

GCF(99436,99456) = 4

We will now calculate the prime factors of 99436 and 99456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99436 and 99456.

How to find the GCF of 99436 and 99456?

We will first find the prime factorization of 99436 and 99456. After we will calculate the factors of 99436 and 99456 and find the biggest common factor number .

Step-1: Prime Factorization of 99436

Prime factors of 99436 are 2, 24859. Prime factorization of 99436 in exponential form is:

99436 = 2² × 24859¹

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 99436

List of positive integer factors of 99436 that divides 99436 without a remainder.

1, 2, 4, 24859, 49718

Step-4: Factors of 99456

List of positive integer factors of 99456 that divides 99436 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 99436 and 99456. The biggest common factor number is the GCF number.
So the greatest common factor 99436 and 99456 is 4.

Also check out the Least Common Multiple of 99436 and 99456