What is the Greatest Common Factor of 12306 and 12318?

Greatest common factor (GCF) of 12306 and 12318 is 6.

GCF(12306,12318) = 6

We will now calculate the prime factors of 12306 and 12318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12306 and 12318.

How to find the GCF of 12306 and 12318?

We will first find the prime factorization of 12306 and 12318. After we will calculate the factors of 12306 and 12318 and find the biggest common factor number .

Step-1: Prime Factorization of 12306

Prime factors of 12306 are 2, 3, 7, 293. Prime factorization of 12306 in exponential form is:

12306 = 2¹ × 3¹ × 7¹ × 293¹

Step-2: Prime Factorization of 12318

Prime factors of 12318 are 2, 3, 2053. Prime factorization of 12318 in exponential form is:

12318 = 2¹ × 3¹ × 2053¹

Step-3: Factors of 12306

List of positive integer factors of 12306 that divides 12306 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 293, 586, 879, 1758, 2051, 4102, 6153

Step-4: Factors of 12318

List of positive integer factors of 12318 that divides 12306 without a remainder.

1, 2, 3, 6, 2053, 4106, 6159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12306 and 12318. The biggest common factor number is the GCF number.
So the greatest common factor 12306 and 12318 is 6.

Also check out the Least Common Multiple of 12306 and 12318