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

To determine the greatest common divisor (GCD) of 24 and 36, we can start by identifying the factors of both numbers.

First, let's find the factors of 24:

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

Next, we determine the factors of 36:

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

To find the GCD, we look for the largest number that appears in both lists of factors. Here, the common factors of 24 and 36 include 1, 2, 3, 4, 6, and 12. Among these common factors, 12 is the largest.

The GCD represents the largest integer that divides both numbers evenly, and since 12 is the largest factor that both 24 and 36 share, it is indeed the correct answer.

Thus, the greatest common divisor of 24 and 36 is 12.