What is the Greatest Common Factor of 99456 and 99470?

Greatest common factor (GCF) of 99456 and 99470 is 14.

GCF(99456,99470) = 14

We will now calculate the prime factors of 99456 and 99470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99456 and 99470.

How to find the GCF of 99456 and 99470?

We will first find the prime factorization of 99456 and 99470. After we will calculate the factors of 99456 and 99470 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 99470

Prime factors of 99470 are 2, 5, 7, 29. Prime factorization of 99470 in exponential form is:

99470 = 2¹ × 5¹ × 7³ × 29¹

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 99470

List of positive integer factors of 99470 that divides 99456 without a remainder.

1, 2, 5, 7, 10, 14, 29, 35, 49, 58, 70, 98, 145, 203, 245, 290, 343, 406, 490, 686, 1015, 1421, 1715, 2030, 2842, 3430, 7105, 9947, 14210, 19894, 49735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99456 and 99470. The biggest common factor number is the GCF number.
So the greatest common factor 99456 and 99470 is 14.

Also check out the Least Common Multiple of 99456 and 99470