What is the greatest common factor of 24 and 36?

To determine the greatest common factor (GCF) of 24 and 36, we first need to identify the factors of each number.

For 24, the factors are: 1, 2, 3, 4, 6, 8, 12, 24.

For 36, the factors are: 1, 2, 3, 4, 6, 9, 12, 18, 36.

Next, we look for the common factors between the two lists:

• Common factors: 1, 2, 3, 4, 6, 12.

The greatest common factor is the highest number in the list of common factors. In this case, 12 is the largest value present in both sets of factors.

Thus, the greatest common factor of 24 and 36 is 12. This means that 12 is the largest number that divides both 24 and 36 without leaving a remainder, confirming that it is the correct answer.