What is the Greatest Common Factor of 24864 and 24870?

Greatest common factor (GCF) of 24864 and 24870 is 6.

GCF(24864,24870) = 6

We will now calculate the prime factors of 24864 and 24870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24864 and 24870.

How to find the GCF of 24864 and 24870?

We will first find the prime factorization of 24864 and 24870. After we will calculate the factors of 24864 and 24870 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24870

Prime factors of 24870 are 2, 3, 5, 829. Prime factorization of 24870 in exponential form is:

24870 = 2¹ × 3¹ × 5¹ × 829¹

Step-3: Factors of 24864

List of positive integer factors of 24864 that divides 24864 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

Step-4: Factors of 24870

List of positive integer factors of 24870 that divides 24864 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 829, 1658, 2487, 4145, 4974, 8290, 12435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24864 and 24870. The biggest common factor number is the GCF number.
So the greatest common factor 24864 and 24870 is 6.

Also check out the Least Common Multiple of 24864 and 24870