What is the GCF of 27 and 30?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 27 and 30, which is the largest number that divides both of them without leaving a remainder.
Answer
The GCF of 27 and 30 is $3$.
Answer for screen readers
The greatest common factor (GCF) of 27 and 30 is $3$.
Steps to Solve
- List the factors of each number
To find the GCF, we start by listing all the factors of 27 and 30.
Factors of 27: 1, 3, 9, 27
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
- Identify the common factors
Next, we look for the factors that are common to both lists.
Common factors between 27 and 30: 1, 3
- Find the greatest common factor
Finally, we select the largest number from the common factors identified.
The greatest common factor (GCF) of 27 and 30 is 3.
The greatest common factor (GCF) of 27 and 30 is $3$.
More Information
The GCF is important in simplifying fractions, finding common denominators, and in various applications of number theory. Knowing how to find the GCF can help in solving problems in algebra and other areas of math.
Tips
- Forgetting to list all factors: Always ensure you find all factors of each number for accurate results.
- Confusing GCF with Least Common Multiple (LCM): Ensure that you're identifying the greatest common factor, not the least common multiple.
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