What is the GCF of 4 and 18?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 4 and 18. To solve this, we need to determine the largest number that divides both 4 and 18 without leaving a remainder.
Answer
The greatest common factor is $2$.
Answer for screen readers
The greatest common factor of 4 and 18 is $2$.
Steps to Solve
- Find the factors of 4 To find the factors of 4, we can list the numbers that divide it evenly:
- The factors of 4 are: 1, 2, and 4.
- Find the factors of 18 Next, we will list the factors of 18:
- The factors of 18 are: 1, 2, 3, 6, 9, and 18.
- Identify the common factors Now, we need to find the factors that are common to both 4 and 18:
- The common factors are: 1 and 2.
- Determine the greatest common factor Finally, we identify the largest number from the common factors:
- The greatest common factor (GCF) is 2.
The greatest common factor of 4 and 18 is $2$.
More Information
The greatest common factor (GCF) is useful in various areas of mathematics, such as simplifying fractions or solving problems involving ratios. Not only does the GCF help in determining commonality between numbers, but it is also an important concept in number theory.
Tips
- Forgetting to list factors correctly: It's easy to overlook some factors. Make sure to check all numbers up to the given number.
- Not identifying the largest common factor: Sometimes the common factors may be missed; always check to select the largest one.
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