What is the GCF of 8 and 16?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 8 and 16. The GCF is the largest positive integer that divides both numbers without leaving a remainder.
Answer
8
Answer for screen readers
The greatest common factor of 8 and 16 is 8
Steps to Solve
- List the factors of each number
List all factors of 8 and 16.
- Factors of 8: 1, 2, 4, 8
- Factors of 16: 1, 2, 4, 8, 16
- Identify the common factors
Find the common factors between the listed factors of 8 and 16.
- Common factors: 1, 2, 4, 8
- Select the greatest of the common factors
Choose the largest factor that appears in both lists.
- Greatest common factor: 8
The greatest common factor of 8 and 16 is 8
More Information
Finding the GCF is helpful in simplifying fractions and solving problems involving ratios.
Tips
A common mistake is to forget to list all of the factors, making you potentially miss the greatest one. Ensure all factors are accounted for.
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