What is the Greatest Common Factor of 24834 and 24849?

Greatest common factor (GCF) of 24834 and 24849 is 3.

GCF(24834,24849) = 3

We will now calculate the prime factors of 24834 and 24849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24834 and 24849.

How to find the GCF of 24834 and 24849?

We will first find the prime factorization of 24834 and 24849. After we will calculate the factors of 24834 and 24849 and find the biggest common factor number .

Step-1: Prime Factorization of 24834

Prime factors of 24834 are 2, 3, 4139. Prime factorization of 24834 in exponential form is:

24834 = 2¹ × 3¹ × 4139¹

Step-2: 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-3: Factors of 24834

List of positive integer factors of 24834 that divides 24834 without a remainder.

1, 2, 3, 6, 4139, 8278, 12417

Step-4: Factors of 24849

List of positive integer factors of 24849 that divides 24834 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24834 and 24849. The biggest common factor number is the GCF number.
So the greatest common factor 24834 and 24849 is 3.

Also check out the Least Common Multiple of 24834 and 24849