What is the greatest common factor of 24 and 33?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 24 and 33. To find the GCF, we will determine the factors of both numbers and identify the largest factor that both share.
Answer
$3$
Answer for screen readers
The greatest common factor (GCF) of 24 and 33 is $3$.
Steps to Solve
- Find the factors of 24
List all the factors of 24. A factor is a number that divides another number without leaving a remainder.
- The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
- Find the factors of 33
Now list all the factors of 33 in the same way.
- The factors of 33 are: 1, 3, 11, 33.
- Identify the common factors
Next, we will look for the factors that both numbers share.
- The common factors of 24 and 33 are: 1, 3.
- Determine the greatest common factor (GCF)
Finally, identify the largest number among the common factors.
- The GCF is 3.
The greatest common factor (GCF) of 24 and 33 is $3$.
More Information
The greatest common factor is the largest number that can divide both given numbers without a remainder. In this case, 3 is the largest factor that both 24 and 33 share.
Tips
- A common mistake is to only factor one of the numbers and assume the factors apply to both. Always find factors for both numbers before determining the GCF.
