What is the Greatest Common Factor of 99448 and 99456?

Greatest common factor (GCF) of 99448 and 99456 is 8.

GCF(99448,99456) = 8

We will now calculate the prime factors of 99448 and 99456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99448 and 99456.

How to find the GCF of 99448 and 99456?

We will first find the prime factorization of 99448 and 99456. After we will calculate the factors of 99448 and 99456 and find the biggest common factor number .

Step-1: Prime Factorization of 99448

Prime factors of 99448 are 2, 31, 401. Prime factorization of 99448 in exponential form is:

99448 = 2³ × 31¹ × 401¹

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 99448

List of positive integer factors of 99448 that divides 99448 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 401, 802, 1604, 3208, 12431, 24862, 49724

Step-4: Factors of 99456

List of positive integer factors of 99456 that divides 99448 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 99448 and 99456. The biggest common factor number is the GCF number.
So the greatest common factor 99448 and 99456 is 8.

Also check out the Least Common Multiple of 99448 and 99456