What is the GCF of 6 and 24?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 6 and 24, which is the largest positive integer that divides both numbers without leaving a remainder.
Answer
The GCF of 6 and 24 is $6$.
Answer for screen readers
The greatest common factor (GCF) of 6 and 24 is $6$.
Steps to Solve
- List the factors of each number
Start by finding all the factors for both numbers:
- Factors of 6: 1, 2, 3, 6
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Identify the common factors
Next, identify which factors are common to both lists:
- Common factors: 1, 2, 3, 6
- Determine the greatest common factor
Finally, select the largest number from the common factors:
- The greatest common factor is 6.
The greatest common factor (GCF) of 6 and 24 is $6$.
More Information
The GCF is useful in simplifying fractions, finding least common multiples, and solving problems involving ratios. Understanding how to find the GCF can facilitate various mathematical operations.
Tips
- Forgetting to list all factors exhaustively: Make sure to consider all factors for each number.
- Confusing GCF with least common multiple (LCM): Remember, GCF is about common factors, while LCM is about multiples.
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