What is the Greatest Common Factor of 24854 and 24868?

Greatest common factor (GCF) of 24854 and 24868 is 2.

GCF(24854,24868) = 2

We will now calculate the prime factors of 24854 and 24868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24854 and 24868.

How to find the GCF of 24854 and 24868?

We will first find the prime factorization of 24854 and 24868. After we will calculate the factors of 24854 and 24868 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 24868

Prime factors of 24868 are 2, 6217. Prime factorization of 24868 in exponential form is:

24868 = 2² × 6217¹

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 24868

List of positive integer factors of 24868 that divides 24854 without a remainder.

1, 2, 4, 6217, 12434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24854 and 24868. The biggest common factor number is the GCF number.
So the greatest common factor 24854 and 24868 is 2.

Also check out the Least Common Multiple of 24854 and 24868