What is the GCF of 18 and 20?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 18 and 20, which is the largest number that divides both of them without leaving a remainder.
Answer
The greatest common factor of 18 and 20 is $2$.
Answer for screen readers
The greatest common factor of 18 and 20 is $2$.
Steps to Solve
- List the factors of each number
Start by listing the factors of 18 and 20.
- Factors of 18: 1, 2, 3, 6, 9, 18
- Factors of 20: 1, 2, 4, 5, 10, 20
- Identify the common factors
Next, identify which factors are common to both lists.
- Common factors of 18 and 20: 1, 2
- Determine the greatest common factor
Finally, from the common factors, select the largest one.
- The greatest common factor (GCF) is 2.
The greatest common factor of 18 and 20 is $2$.
More Information
The greatest common factor (GCF) is a useful concept in mathematics, especially in simplifying fractions and finding common denominators. The GCF can also help in understanding factors and multiples.
Tips
- Forgetting to list all factors for each number, which may lead to missing common factors.
- Failing to identify the largest common factor, sometimes confusing it with a smaller one.
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