What is the Greatest Common Factor of 24854 and 24864?

Greatest common factor (GCF) of 24854 and 24864 is 2.

GCF(24854,24864) = 2

We will now calculate the prime factors of 24854 and 24864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24854 and 24864.

How to find the GCF of 24854 and 24864?

We will first find the prime factorization of 24854 and 24864. After we will calculate the factors of 24854 and 24864 and find the biggest common factor number .

Step-1: Prime Factorization of 24854

Prime factors of 24854 are 2, 17, 43. Prime factorization of 24854 in exponential form is:

24854 = 2¹ × 17² × 43¹

Step-2: Prime Factorization of 24864

Prime factors of 24864 are 2, 3, 7, 37. Prime factorization of 24864 in exponential form is:

24864 = 2⁵ × 3¹ × 7¹ × 37¹

Step-3: Factors of 24854

List of positive integer factors of 24854 that divides 24854 without a remainder.

1, 2, 17, 34, 43, 86, 289, 578, 731, 1462, 12427

Step-4: Factors of 24864

List of positive integer factors of 24864 that divides 24854 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 37, 42, 48, 56, 74, 84, 96, 111, 112, 148, 168, 222, 224, 259, 296, 336, 444, 518, 592, 672, 777, 888, 1036, 1184, 1554, 1776, 2072, 3108, 3552, 4144, 6216, 8288, 12432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24854 and 24864. The biggest common factor number is the GCF number.
So the greatest common factor 24854 and 24864 is 2.

Also check out the Least Common Multiple of 24854 and 24864