gcf of 64 and 32
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 64 and 32. To solve this, we will determine the factors of both numbers and find the largest factor that they share.
Answer
$32$
Answer for screen readers
The greatest common factor (GCF) of 64 and 32 is $32$.
Steps to Solve
- List the factors of each number
To find the GCF, first, we will list all the factors of both 64 and 32.
- Factors of 64: 1, 2, 4, 8, 16, 32, 64
- Factors of 32: 1, 2, 4, 8, 16, 32
- Identify the common factors
Next, we will look for the factors that both numbers share.
- Common factors: 1, 2, 4, 8, 16, 32
- Determine the greatest common factor
From the list of common factors, we will now find the largest one.
- The greatest common factor of 64 and 32 is 32.
The greatest common factor (GCF) of 64 and 32 is $32$.
More Information
The GCF is the largest integer that can divide both numbers without leaving a remainder. In this case, since 32 is a factor of 64, it is the highest shared factor.
Tips
- Forgetting to list all factors: Some may skip certain factors, making it difficult to find the correct GCF.
- Choosing the wrong largest factor: After identifying common factors, make sure to pick the one that is the highest.
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