What is the greatest common factor of 48 and 12?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 48 and 12. To find the GCF, we need to determine the largest number that divides both 48 and 12 evenly.
Answer
The GCF of 48 and 12 is $12$.
Answer for screen readers
The greatest common factor (GCF) of 48 and 12 is 12.
Steps to Solve
- List the Factors of Each Number
First, we need to find the factors of both numbers.
- Factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Factors of 12 are: 1, 2, 3, 4, 6, 12
- Identify Common Factors
Next, we identify the common factors between the two lists.
- Common factors of 48 and 12: 1, 2, 3, 4, 6, 12
- Select the Greatest Common Factor
Now we select the largest number from the common factors.
- The largest common factor is 12.
The greatest common factor (GCF) of 48 and 12 is 12.
More Information
The GCF, also known as the greatest common divisor (GCD), is useful in simplifying fractions and finding equivalent ratios. Understanding how to find the GCF can help in various areas of math.
Tips
- Not listing all factors: Make sure to include all possible factors when creating the lists.
- Overlooking larger common factors: When identifying common factors, always ensure to check all numbers before concluding.
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