What is the GCF of 18 and 60?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 18 and 60. To find the GCF, we will look for the highest number that divides both 18 and 60 evenly.
Answer
The greatest common factor of 18 and 60 is $6$.
Answer for screen readers
The greatest common factor of 18 and 60 is $6$.
Steps to Solve
- List the factors of each number
To find the GCF, we start by listing the factors of both numbers.
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The factors of 18 are: $$ 1, 2, 3, 6, 9, 18 $$
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The factors of 60 are: $$ 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 $$
- Identify the common factors
Next, we identify the factors that are common to both lists.
The common factors of 18 and 60 are: $$ 1, 2, 3, 6 $$
- Find the greatest common factor
Now, we look for the highest number among these common factors, which will be the GCF.
The greatest common factor is: $$ 6 $$
The greatest common factor of 18 and 60 is $6$.
More Information
The GCF is useful in problems involving fractions, simplifying ratios, and finding common denominators. Knowing the GCF can help in reducing fractions to their simplest form.
Tips
- Forgetting to list all factors.
- Not checking both numbers for common factors.
- Confusing GCF with the least common multiple (LCM).
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