What is the Greatest Common Factor of 24399 and 24405?

Greatest common factor (GCF) of 24399 and 24405 is 3.

GCF(24399,24405) = 3

We will now calculate the prime factors of 24399 and 24405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24399 and 24405.

How to find the GCF of 24399 and 24405?

We will first find the prime factorization of 24399 and 24405. After we will calculate the factors of 24399 and 24405 and find the biggest common factor number .

Step-1: Prime Factorization of 24399

Prime factors of 24399 are 3, 2711. Prime factorization of 24399 in exponential form is:

24399 = 3² × 2711¹

Step-2: Prime Factorization of 24405

Prime factors of 24405 are 3, 5, 1627. Prime factorization of 24405 in exponential form is:

24405 = 3¹ × 5¹ × 1627¹

Step-3: Factors of 24399

List of positive integer factors of 24399 that divides 24399 without a remainder.

1, 3, 9, 2711, 8133

Step-4: Factors of 24405

List of positive integer factors of 24405 that divides 24399 without a remainder.

1, 3, 5, 15, 1627, 4881, 8135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24399 and 24405. The biggest common factor number is the GCF number.
So the greatest common factor 24399 and 24405 is 3.

Also check out the Least Common Multiple of 24399 and 24405