gcf of 36 and 33
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 36 and 33. To solve this, we will identify the factors of each number and determine which is the largest factor they have in common.
Answer
$3$
Answer for screen readers
The greatest common factor (GCF) of 36 and 33 is $3$.
Steps to Solve
- List the factors of each number
We need to find the factors of 36 and 33.
- The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
- The factors of 33 are: 1, 3, 11, 33
- Identify the common factors
Next, we will look for factors that are present in both lists.
- The common factors of 36 and 33 are: 1, 3
- Determine the greatest common factor
Finally, we need to choose the largest common factor from our previous list.
- The greatest common factor is 3.
The greatest common factor (GCF) of 36 and 33 is $3$.
More Information
The GCF is useful in simplifying fractions or finding common denominators. It is the largest number that can divide both numbers without leaving a remainder.
Tips
- Not listing all factors correctly: Make sure to check each number thoroughly.
- Confusing common factors with the greatest common factor: Remember to choose the largest number from the common factors.
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