What is the GCF of 64 and 16?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 64 and 16, which involves finding the largest integer that divides both numbers without leaving a remainder.
Answer
$16$
Answer for screen readers
The greatest common factor (GCF) of 64 and 16 is $16$.
Steps to Solve
- List the factors of each number
First, we need to find all the factors of both 64 and 16.
- The factors of 64 are: 1, 2, 4, 8, 16, 32, 64
- The factors of 16 are: 1, 2, 4, 8, 16
- Identify the common factors
Next, we identify the factors that are common to both numbers.
- Common factors of 64 and 16 are: 1, 2, 4, 8, 16
- Find the greatest common factor
Finally, we find the largest value from the common factors.
- The greatest common factor (GCF) is 16.
The greatest common factor (GCF) of 64 and 16 is $16$.
More Information
The GCF is an important concept in number theory, often used in simplifying fractions and finding common denominators. Knowing how to find the GCF can also help in solving problems involving ratios and proportions.
Tips
- A common mistake is forgetting to include all factors when determining the GCF. Make sure to list all factors accurately.
- Another mistake is identify common factors incorrectly. Verify each factor belongs to both lists.
Thank you for voting!
