What is the greatest common factor of 8 and 32?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 8 and 32. The GCF is the largest positive integer that divides both numbers without leaving a remainder.
Answer
$8$
Answer for screen readers
The greatest common factor (GCF) of 8 and 32 is $8$.
Steps to Solve
- List the factors of each number
To find the GCF, we need to identify all the factors of both numbers.
- Factors of 8: 1, 2, 4, 8
- Factors of 32: 1, 2, 4, 8, 16, 32
- Identify the common factors
Next, we find the factors that are common to both lists.
- Common factors: 1, 2, 4, 8
- Determine the greatest common factor
From the common factors identified, we select the largest one as the GCF.
- The greatest common factor is 8.
The greatest common factor (GCF) of 8 and 32 is $8$.
More Information
The GCF is useful in simplifying fractions and finding common denominators. It helps ensure that fractions are at their simplest form.
Tips
- Listing incorrect factors: Make sure all factors of both numbers are listed accurately.
- Forgetting to check for the largest common factor: It's easy to identify common factors but remember to choose the greatest one.
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