Question

find the greatest common factor of 24 and 33.

Explanation:

Step1: Find factors of 24

The factors of 24 are all the numbers that divide 24 without leaving a remainder. So, \(1, 2, 3, 4, 6, 8, 12, 24\) are the factors of 24.

Step2: Find factors of 33

The factors of 33 are the numbers that divide 33 without leaving a remainder. So, \(1, 3, 11, 33\) are the factors of 33.

Step3: Identify common factors

Now, we find the common factors of 24 and 33 from their respective factor lists. The common factors are \(1, 3\).

Step4: Determine the greatest common factor

Among the common factors \(1\) and \(3\), the greatest one is \(3\).

Answer:

3