What is the Greatest Common Factor of 12333 and 12345?

Greatest common factor (GCF) of 12333 and 12345 is 3.

GCF(12333,12345) = 3

We will now calculate the prime factors of 12333 and 12345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12333 and 12345.

How to find the GCF of 12333 and 12345?

We will first find the prime factorization of 12333 and 12345. After we will calculate the factors of 12333 and 12345 and find the biggest common factor number .

Step-1: Prime Factorization of 12333

Prime factors of 12333 are 3, 4111. Prime factorization of 12333 in exponential form is:

12333 = 3¹ × 4111¹

Step-2: Prime Factorization of 12345

Prime factors of 12345 are 3, 5, 823. Prime factorization of 12345 in exponential form is:

12345 = 3¹ × 5¹ × 823¹

Step-3: Factors of 12333

List of positive integer factors of 12333 that divides 12333 without a remainder.

1, 3, 4111

Step-4: Factors of 12345

List of positive integer factors of 12345 that divides 12333 without a remainder.

1, 3, 5, 15, 823, 2469, 4115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12333 and 12345. The biggest common factor number is the GCF number.
So the greatest common factor 12333 and 12345 is 3.

Also check out the Least Common Multiple of 12333 and 12345