What is the Greatest Common Factor of 24838 and 24854?

Greatest common factor (GCF) of 24838 and 24854 is 2.

GCF(24838,24854) = 2

We will now calculate the prime factors of 24838 and 24854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24838 and 24854.

How to find the GCF of 24838 and 24854?

We will first find the prime factorization of 24838 and 24854. After we will calculate the factors of 24838 and 24854 and find the biggest common factor number .

Step-1: Prime Factorization of 24838

Prime factors of 24838 are 2, 11, 1129. Prime factorization of 24838 in exponential form is:

24838 = 2¹ × 11¹ × 1129¹

Step-2: 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-3: Factors of 24838

List of positive integer factors of 24838 that divides 24838 without a remainder.

1, 2, 11, 22, 1129, 2258, 12419

Step-4: Factors of 24854

List of positive integer factors of 24854 that divides 24838 without a remainder.

1, 2, 17, 34, 43, 86, 289, 578, 731, 1462, 12427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24838 and 24854. The biggest common factor number is the GCF number.
So the greatest common factor 24838 and 24854 is 2.

Also check out the Least Common Multiple of 24838 and 24854