What is the GCF of 32 and 64?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 32 and 64, which is the largest number that divides both of them without leaving a remainder.
Answer
$32$
Answer for screen readers
The greatest common factor of 32 and 64 is $32$.
Steps to Solve
- List the factors of each number
Start by finding all the factors of both numbers 32 and 64.
Factors of 32:
- The factors are 1, 2, 4, 8, 16, 32.
Factors of 64:
- The factors are 1, 2, 4, 8, 16, 32, 64.
- Identify common factors
List the factors that are common to both 32 and 64.
Common factors are: 1, 2, 4, 8, 16, 32.
- Find the greatest common factor
Choose the largest factor from the common factors identified.
The largest factor is 32.
The greatest common factor of 32 and 64 is $32$.
More Information
The GCF is an important concept in number theory and is useful for simplifying fractions and finding equivalent fractions. Knowing the GCF can also help in solving problems involving divisibility.
Tips
- A common mistake is to only find one number and think it’s the GCF without checking for all common factors. Always list all factors first and ensure you're identifying the maximum.
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