What is the GCF of 96 and 48?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 96 and 48. To find the GCF, we can determine the factors of both numbers and identify the largest factor they share.
Answer
The greatest common factor of 96 and 48 is $48$.
Answer for screen readers
The greatest common factor (GCF) of 96 and 48 is $48$.
Steps to Solve
- List the factors of each number
First, we need to find the factors of both 96 and 48.
- Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
- Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Identify the common factors
Next, we will determine which factors are common to both numbers.
- Common factors of 96 and 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Determine the greatest common factor
Now, we can find the largest factor from the common factors identified.
The greatest of the common factors is 48.
The greatest common factor (GCF) of 96 and 48 is $48$.
More Information
The greatest common factor is useful for simplifying fractions, finding common denominators, and working with ratios. The GCF helps us understand the largest shared divisor of two or more numbers.
Tips
- Miscounting the factors: Ensure you list all factors accurately for both numbers.
- Not considering all common factors: Double-check that you have identified all factors before determining the GCF.
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