What is the common factor of 36 and 45?
Understand the Problem
The question is asking for the common factors of the numbers 36 and 45. To solve this, we will find the factors of each number and identify which factors they share.
Answer
The common factors of 36 and 45 are $1$, $3$, and $9$.
Answer for screen readers
The common factors of 36 and 45 are: $1$, $3$, and $9$.
Steps to Solve
- Find the Factors of 36
To find the factors of 36, we can list all the numbers that divide 36 without leaving a remainder. The factors of 36 are:
1, 2, 3, 4, 6, 9, 12, 18, 36
- Find the Factors of 45
Next, we will find the factors of 45 in the same way. The factors of 45 are:
1, 3, 5, 9, 15, 45
- Identify the Common Factors
Now that we have the factors of both numbers, we can identify the common factors by finding the numbers that appear in both lists.
The common factors of 36 and 45 are 1, 3, and 9.
The common factors of 36 and 45 are: $1$, $3$, and $9$.
More Information
Common factors are important in mathematics as they are often used in simplifying fractions or solving problems related to ratios. A fun fact is that the greatest common factor (GCF) is the largest number in the list of common factors.
Tips
- Forgetting to list all factors: Make sure to take into account every number that divides the original numbers completely.
- Not checking both lists: When identifying common factors, always reference both sets of factors to ensure all shared numbers are found.
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