What is the greatest common factor of 16 and 64?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 16 and 64. To solve this, we will identify the factors of both numbers and then find the largest factor shared by both.
Answer
The greatest common factor (GCF) of 16 and 64 is $16$.
Answer for screen readers
The greatest common factor (GCF) of 16 and 64 is $16$.
Steps to Solve
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List the factors of each number
To find the GCF, we need to start by listing the factors of both numbers, 16 and 64.
The factors of 16 are:
1, 2, 4, 8, 16
The factors of 64 are:
1, 2, 4, 8, 16, 32, 64
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Identify common factors
Next, we need to look for factors that both numbers share. From the lists we created:
The common factors of 16 and 64 are:
1, 2, 4, 8, 16 -
Find the greatest common factor
Now, we select the largest factor from the common factors we identified.
The greatest common factor (GCF) is:
16
The greatest common factor (GCF) of 16 and 64 is $16$.
More Information
The GCF is the largest number that can evenly divide two or more numbers. It is useful in simplifying fractions, finding common denominators, and reducing ratios.
Tips
- Forgetting to list all factors correctly: Always double-check to ensure you've listed every factor.
- Confusing GCF with Least Common Multiple (LCM): Remember that GCF finds the largest common factor, while LCM finds the smallest common multiple.
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