What is the greatest common divisor (GCD) of 12 and 18?

To find the greatest common divisor (GCD) of the numbers 12 and 18, we need to identify the largest number that divides both 12 and 18 without leaving a remainder.

First, we can list the divisors of both numbers:

For 12, the divisors are:

1, 2, 3, 4, 6, and 12.

For 18, the divisors are:

1, 2, 3, 6, 9, and 18.

Next, we look for the common divisors between these two lists:

• The common divisors are 1, 2, 3, and 6.

Among these common divisors, the largest one is 6. This indicates that 6 is the greatest number that can evenly divide both 12 and 18.

Consequently, the GCD of 12 and 18 is 6, confirming that the correct answer is indeed this number.