What is the greatest common divisor (GCD) of 24 and 36?

To determine the greatest common divisor (GCD) of two numbers, we look for the largest integer that divides both numbers without leaving a remainder.

First, let's list the factors of 24 and 36.

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.

Now, we identify the common factors of both numbers by looking at the lists we created:

The common factors of 24 and 36 are: 1, 2, 3, 4, 6, 12.

From these common factors, the greatest one is 12. Therefore, the GCD of 24 and 36 is indeed 12, which confirms that answer choice B is correct.

Finding the GCD can also be approached using the prime factorization method. The prime factorization of 24 is (2^3 \times 3) and the prime factorization of 36 is (2^2 \times 3^2). To find the