What is the GCF of 3 and 18?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 3 and 18, which is the largest integer that divides both numbers without leaving a remainder.
Answer
The greatest common factor (GCF) of 3 and 18 is 3.
Answer for screen readers
The greatest common factor (GCF) of 3 and 18 is 3.
Steps to Solve
- List the Factors Identify the factors of both numbers 3 and 18.
- The factors of 3 are: 1, 3
- The factors of 18 are: 1, 2, 3, 6, 9, 18
- Identify the Common Factors Find the factors that are common to both sets.
- The common factors of 3 and 18 are: 1, 3
- Determine the Greatest Common Factor From the list of common factors, identify the greatest one.
- The greatest common factor is 3.
The greatest common factor (GCF) of 3 and 18 is 3.
More Information
The GCF is useful in simplifying fractions and finding the common denominator when adding or subtracting fractions. Understanding GCF can also help in factoring polynomials and solving equations.
Tips
- Confusing GCF with the least common multiple (LCM). Ensure you remember that GCF is the largest factor while LCM is the smallest multiple.
- Failing to list all factors or making arithmetic errors while identifying them. Always double-check for accuracy in listing factors.
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