What is the Greatest Common Factor of 24438 and 24447?

Greatest common factor (GCF) of 24438 and 24447 is 3.

GCF(24438,24447) = 3

We will now calculate the prime factors of 24438 and 24447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24438 and 24447.

How to find the GCF of 24438 and 24447?

We will first find the prime factorization of 24438 and 24447. After we will calculate the factors of 24438 and 24447 and find the biggest common factor number .

Step-1: Prime Factorization of 24438

Prime factors of 24438 are 2, 3, 4073. Prime factorization of 24438 in exponential form is:

24438 = 2¹ × 3¹ × 4073¹

Step-2: Prime Factorization of 24447

Prime factors of 24447 are 3, 29, 281. Prime factorization of 24447 in exponential form is:

24447 = 3¹ × 29¹ × 281¹

Step-3: Factors of 24438

List of positive integer factors of 24438 that divides 24438 without a remainder.

1, 2, 3, 6, 4073, 8146, 12219

Step-4: Factors of 24447

List of positive integer factors of 24447 that divides 24438 without a remainder.

1, 3, 29, 87, 281, 843, 8149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24438 and 24447. The biggest common factor number is the GCF number.
So the greatest common factor 24438 and 24447 is 3.

Also check out the Least Common Multiple of 24438 and 24447