What is the greatest common factor of 32 and 64?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 32 and 64. This involves identifying the largest integer that divides both numbers without leaving a remainder.
Answer
The greatest common factor (GCF) of 32 and 64 is $32$.
Answer for screen readers
The greatest common factor (GCF) of 32 and 64 is $32$.
Steps to Solve
- List the factors of each number
To find the GCF, we first need to determine the factors of both numbers, 32 and 64.
Factors of 32:
1, 2, 4, 8, 16, 32
Factors of 64:
1, 2, 4, 8, 16, 32, 64
- Identify the common factors
Next, we will identify which factors are common to both sets of factors we just listed.
Common factors: 1, 2, 4, 8, 16, 32
- Determine the greatest common factor
Now we need to find the largest number from the list of common factors, which will be the GCF.
The greatest common factor is 32.
The greatest common factor (GCF) of 32 and 64 is $32$.
More Information
The GCF is useful in simplifying fractions and finding common denominators. In this case, since 64 is a multiple of 32, their GCF is actually 32.
Tips
- One common mistake is forgetting to list all factors correctly. Make sure to check each number systematically.
- Another mistake is not identifying the greatest factor. It’s important to look for the highest value in the common factors list.
