What is the greatest common factor of 9 and 48?

Understand the Problem

The question is asking for the greatest common factor (GCF) of the numbers 9 and 48. We will identify the factors of each number and determine the largest factor they share.

Answer

The GCF is $3$.

Steps to Solve

List the factors of each number

First, we will find the factors of 9 and 48.

The factors of 9 are: 1, 3, 9.
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

Identify the common factors

Next, we look for the factors that are common to both lists.

Common factors of 9 and 48: 1, 3.

Determine the greatest common factor

Finally, we find the largest factor from the common factors we identified.

The greatest common factor (GCF) is 3.

The greatest common factor of 9 and 48 is 3.

More Information

The GCF is useful in simplifying fractions and solving problems involving ratios. Finding the GCF helps in determining how many groups can be made with the numbers.

Tips

Forgetting to list all factors for both numbers can lead to missing common factors.
Assuming a factor is common without verifying in both lists.

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