What is the Greatest Common Factor of 24864 and 24883?

Greatest common factor (GCF) of 24864 and 24883 is 1.

GCF(24864,24883) = 1

We will now calculate the prime factors of 24864 and 24883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24864 and 24883.

How to find the GCF of 24864 and 24883?

We will first find the prime factorization of 24864 and 24883. After we will calculate the factors of 24864 and 24883 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 24883

Prime factors of 24883 are 149, 167. Prime factorization of 24883 in exponential form is:

24883 = 149¹ × 167¹

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 24883

List of positive integer factors of 24883 that divides 24864 without a remainder.

1, 149, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24864 and 24883. The biggest common factor number is the GCF number.
So the greatest common factor 24864 and 24883 is 1.

Also check out the Least Common Multiple of 24864 and 24883