What is the greatest common factor of 14 and 18?
Understand the Problem
The question is asking to find the greatest common factor (GCF) of the numbers 14 and 18. To solve this, we need to determine the factors of both numbers and identify the largest factor that they share.
Answer
The greatest common factor of 14 and 18 is $2$.
Answer for screen readers
The greatest common factor (GCF) of 14 and 18 is $2$.
Steps to Solve
- List the factors of each number
First, we need to write down all the factors of 14 and 18.
Factors of 14: $1, 2, 7, 14$
Factors of 18: $1, 2, 3, 6, 9, 18$
- Identify common factors
Next, we find the common factors between the two lists.
Common factors of 14 and 18: $1, 2$
- Determine the greatest common factor
Finally, we identify the greatest factor from the common factors identified.
The greatest common factor is $2$.
The greatest common factor (GCF) of 14 and 18 is $2$.
More Information
The greatest common factor is the largest number that can evenly divide two or more numbers. Finding the GCF can help in simplifying fractions or solving problems involving ratios.
Tips
- Forgetting to list all factors of each number, which can lead to missing common factors. Make sure to check each number thoroughly.
- Not identifying the greatest common factor from the list of common factors. Always double-check that you are selecting the largest.
