What is the greatest common factor (GCF) of 24 and 36?

To find the greatest common factor (GCF) of 24 and 36, we start by identifying the factors of both numbers.

First, we can list the factors of 24:

• 1, 2, 3, 4, 6, 8, 12, 24

Next, we list the factors of 36:

• 1, 2, 3, 4, 6, 9, 12, 18, 36

Now, we look for the common factors of both numbers. The common factors of 24 and 36 are:

• 1, 2, 3, 4, 6, 12

Among these common factors, the greatest one is 12. Therefore, the GCF of 24 and 36 is 12. This is why the correct answer is 12, as it is the largest factor shared by both numbers.

Utilizing the GCF is an important concept in mathematics as it helps in simplifying fractions, solving problems involving ratios, and is fundamental in number theory.