What is the largest odd number Amelia could be thinking of that is a factor of both 18 and 12?
Understand the Problem
The question is asking for the largest odd number that is a factor of both 18 and 12. This requires identifying the factors of both numbers and determining the largest one that is also odd.
Answer
The largest odd number that Amelia could be thinking of is $3$.
Answer for screen readers
The largest odd number that Amelia could be thinking of is $3$.
Steps to Solve
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Identify Factors of 18 List the factors of 18. The factors are 1, 2, 3, 6, 9, and 18.
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Identify Factors of 12 List the factors of 12. The factors are 1, 2, 3, 4, 6, and 12.
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Find Common Factors Identify the common factors of both 18 and 12. The common factors are 1, 2, 3, and 6.
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Select Odd Factors From the common factors, identify the ones that are odd. The odd factors are 1 and 3.
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Determine the Largest Odd Factor Identify the largest odd factor from the list. The largest odd factor is 3.
The largest odd number that Amelia could be thinking of is $3$.
More Information
The factors of numbers are the integers that can divide them without leaving a remainder. In this case, odd factors are those which are not divisible by 2. Since both 18 and 12 share the common odd factor 3, it is the largest one.
Tips
- Forgetting to list all factors of each number.
- Not checking for odd factors among the common factors.
- Confusing factors with multiples.
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