What is the greatest common factor of 20 and 15?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 20 and 15. To solve this, we will identify the factors of both numbers and find the largest one that they have in common.
Answer
5
Answer for screen readers
The greatest common factor (GCF) of 20 and 15 is 5.
Steps to Solve
- List the Factors of Each Number
First, we need to find all the factors of 20 and 15.
- The factors of 20 are: 1, 2, 4, 5, 10, 20.
- The factors of 15 are: 1, 3, 5, 15.
- Identify Common Factors
Next, we will look for the factors that both numbers share.
- The common factors of 20 and 15 are: 1 and 5.
- Find the Greatest Common Factor
Now, we will find the largest factor from the common factors we identified.
- The greatest common factor of 20 and 15 is 5.
The greatest common factor (GCF) of 20 and 15 is 5.
More Information
The GCF is useful in simplifying fractions, solving problems involving ratios, and finding equivalent fractions. It helps in breaking down numbers into their component factors, showing the relationship between them.
Tips
- Forgetting to list factors: Some may skip the step of finding factors and jump straight to finding the GCF.
- Not identifying all common factors: Ensure all common factors are identified before choosing the greatest one.
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