What is the Greatest Common Factor of 24306 and 24321?

Greatest common factor (GCF) of 24306 and 24321 is 3.

GCF(24306,24321) = 3

We will now calculate the prime factors of 24306 and 24321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24306 and 24321.

How to find the GCF of 24306 and 24321?

We will first find the prime factorization of 24306 and 24321. After we will calculate the factors of 24306 and 24321 and find the biggest common factor number .

Step-1: Prime Factorization of 24306

Prime factors of 24306 are 2, 3, 4051. Prime factorization of 24306 in exponential form is:

24306 = 2¹ × 3¹ × 4051¹

Step-2: Prime Factorization of 24321

Prime factors of 24321 are 3, 11, 67. Prime factorization of 24321 in exponential form is:

24321 = 3¹ × 11² × 67¹

Step-3: Factors of 24306

List of positive integer factors of 24306 that divides 24306 without a remainder.

1, 2, 3, 6, 4051, 8102, 12153

Step-4: Factors of 24321

List of positive integer factors of 24321 that divides 24306 without a remainder.

1, 3, 11, 33, 67, 121, 201, 363, 737, 2211, 8107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24306 and 24321. The biggest common factor number is the GCF number.
So the greatest common factor 24306 and 24321 is 3.

Also check out the Least Common Multiple of 24306 and 24321