What is the Greatest Common Factor of 99456 and 99476?

Greatest common factor (GCF) of 99456 and 99476 is 4.

GCF(99456,99476) = 4

We will now calculate the prime factors of 99456 and 99476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99456 and 99476.

How to find the GCF of 99456 and 99476?

We will first find the prime factorization of 99456 and 99476. After we will calculate the factors of 99456 and 99476 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99476

Prime factors of 99476 are 2, 13, 1913. Prime factorization of 99476 in exponential form is:

99476 = 2² × 13¹ × 1913¹

Step-3: Factors of 99456

List of positive integer factors of 99456 that divides 99456 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

Step-4: Factors of 99476

List of positive integer factors of 99476 that divides 99456 without a remainder.

1, 2, 4, 13, 26, 52, 1913, 3826, 7652, 24869, 49738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99456 and 99476. The biggest common factor number is the GCF number.
So the greatest common factor 99456 and 99476 is 4.

Also check out the Least Common Multiple of 99456 and 99476