What is the Greatest Common Factor of 24849 and 24861?

Greatest common factor (GCF) of 24849 and 24861 is 3.

GCF(24849,24861) = 3

We will now calculate the prime factors of 24849 and 24861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24849 and 24861.

How to find the GCF of 24849 and 24861?

We will first find the prime factorization of 24849 and 24861. After we will calculate the factors of 24849 and 24861 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 24861

Prime factors of 24861 are 3, 8287. Prime factorization of 24861 in exponential form is:

24861 = 3¹ × 8287¹

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 24861

List of positive integer factors of 24861 that divides 24849 without a remainder.

1, 3, 8287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24849 and 24861. The biggest common factor number is the GCF number.
So the greatest common factor 24849 and 24861 is 3.

Also check out the Least Common Multiple of 24849 and 24861