What is the Greatest Common Factor of 12330 and 12345?

Greatest common factor (GCF) of 12330 and 12345 is 15.

GCF(12330,12345) = 15

We will now calculate the prime factors of 12330 and 12345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12330 and 12345.

How to find the GCF of 12330 and 12345?

We will first find the prime factorization of 12330 and 12345. After we will calculate the factors of 12330 and 12345 and find the biggest common factor number .

Step-1: Prime Factorization of 12330

Prime factors of 12330 are 2, 3, 5, 137. Prime factorization of 12330 in exponential form is:

12330 = 2¹ × 3² × 5¹ × 137¹

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 12330

List of positive integer factors of 12330 that divides 12330 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 137, 274, 411, 685, 822, 1233, 1370, 2055, 2466, 4110, 6165

Step-4: Factors of 12345

List of positive integer factors of 12345 that divides 12330 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12330 and 12345. The biggest common factor number is the GCF number.
So the greatest common factor 12330 and 12345 is 15.

Also check out the Least Common Multiple of 12330 and 12345