common factor of 9 and 27
Understand the Problem
The question is asking for the common factor of the numbers 9 and 27, which involves determining the factors of each number and identifying which factors they share.
Answer
9
Answer for screen readers
The greatest common factor of 9 and 27 is 9.
Steps to Solve
- List the factors of each number
Start by determining the factors of 9 and 27.
- Factors of 9: 1, 3, 9
- Factors of 27: 1, 3, 9, 27
- Identify the common factors
Now, look at the factors and see which ones are common to both sets.
- Common factors of 9 and 27: 1, 3, 9
- Determine the greatest common factor (GCF)
From the common factors, identify the greatest one.
- The greatest common factor is 9.
The greatest common factor of 9 and 27 is 9.
More Information
The greatest common factor is important because it helps in simplifying fractions and solving problems involving ratios. Knowing how to find GCF is crucial in various math applications, especially in number theory.
Tips
- Not listing all factors: Make sure to find all factors of each number.
- Confusing common factors with prime factors: Common factors are those shared by both numbers, while prime factors are the prime numbers that divide them.
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