What is the Greatest Common Factor of 24854 and 24872?

Greatest common factor (GCF) of 24854 and 24872 is 2.

GCF(24854,24872) = 2

We will now calculate the prime factors of 24854 and 24872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24854 and 24872.

How to find the GCF of 24854 and 24872?

We will first find the prime factorization of 24854 and 24872. After we will calculate the factors of 24854 and 24872 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 24872

Prime factors of 24872 are 2, 3109. Prime factorization of 24872 in exponential form is:

24872 = 2³ × 3109¹

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 24872

List of positive integer factors of 24872 that divides 24854 without a remainder.

1, 2, 4, 8, 3109, 6218, 12436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24854 and 24872. The biggest common factor number is the GCF number.
So the greatest common factor 24854 and 24872 is 2.

Also check out the Least Common Multiple of 24854 and 24872