What is the Greatest Common Factor of 24864 and 24878?

Greatest common factor (GCF) of 24864 and 24878 is 14.

GCF(24864,24878) = 14

We will now calculate the prime factors of 24864 and 24878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24864 and 24878.

How to find the GCF of 24864 and 24878?

We will first find the prime factorization of 24864 and 24878. After we will calculate the factors of 24864 and 24878 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 24878

Prime factors of 24878 are 2, 7, 1777. Prime factorization of 24878 in exponential form is:

24878 = 2¹ × 7¹ × 1777¹

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 24878

List of positive integer factors of 24878 that divides 24864 without a remainder.

1, 2, 7, 14, 1777, 3554, 12439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24864 and 24878. The biggest common factor number is the GCF number.
So the greatest common factor 24864 and 24878 is 14.

Also check out the Least Common Multiple of 24864 and 24878