What is the Greatest Common Factor of 24849 and 24854?

Greatest common factor (GCF) of 24849 and 24854 is 1.

GCF(24849,24854) = 1

We will now calculate the prime factors of 24849 and 24854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24849 and 24854.

How to find the GCF of 24849 and 24854?

We will first find the prime factorization of 24849 and 24854. After we will calculate the factors of 24849 and 24854 and find the biggest common factor number .

Step-1: Prime Factorization of 24849

Prime factors of 24849 are 3, 11, 251. Prime factorization of 24849 in exponential form is:

24849 = 3² × 11¹ × 251¹

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 24849

List of positive integer factors of 24849 that divides 24849 without a remainder.

1, 3, 9, 11, 33, 99, 251, 753, 2259, 2761, 8283

Step-4: Factors of 24854

List of positive integer factors of 24854 that divides 24849 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 24849 and 24854. The biggest common factor number is the GCF number.
So the greatest common factor 24849 and 24854 is 1.

Also check out the Least Common Multiple of 24849 and 24854