What is the Greatest Common Factor of 24849 and 24867?

Greatest common factor (GCF) of 24849 and 24867 is 9.

GCF(24849,24867) = 9

We will now calculate the prime factors of 24849 and 24867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24849 and 24867.

How to find the GCF of 24849 and 24867?

We will first find the prime factorization of 24849 and 24867. After we will calculate the factors of 24849 and 24867 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 24867

Prime factors of 24867 are 3, 307. Prime factorization of 24867 in exponential form is:

24867 = 3⁴ × 307¹

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 24867

List of positive integer factors of 24867 that divides 24849 without a remainder.

1, 3, 9, 27, 81, 307, 921, 2763, 8289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24849 and 24867. The biggest common factor number is the GCF number.
So the greatest common factor 24849 and 24867 is 9.

Also check out the Least Common Multiple of 24849 and 24867