What is the GCF of 63 and 81?
Understand the Problem
The question is asking for the greatest common factor (GCF) of 63 and 81, which is the largest number that divides both 63 and 81 without leaving a remainder. To find it, we can list the factors of both numbers and identify the largest common one.
Answer
The GCF of 63 and 81 is $9$.
Answer for screen readers
The greatest common factor of 63 and 81 is $9$.
Steps to Solve
- List the factors of 63
First, we need to find all the factors of 63. The factors are the numbers that divide 63 without leaving a remainder. The factors of 63 are: $$ 1, 3, 7, 9, 21, 63 $$
- List the factors of 81
Next, we list the factors of 81. These will also be the numbers that divide 81 without leaving a remainder. The factors of 81 are: $$ 1, 3, 9, 27, 81 $$
- Identify the common factors
Now, we compare the two lists of factors and identify the common factors of 63 and 81. The common factors are: $$ 1, 3, 9 $$
- Find the greatest common factor (GCF)
Finally, we choose the largest number from the common factors we identified. The GCF is: $$ 9 $$
The greatest common factor of 63 and 81 is $9$.
More Information
The greatest common factor (GCF) is useful in simplifying fractions and finding common denominators in mathematics. In this case, $9$ is the largest number that can divide both $63$ and $81$ evenly.
Tips
- A common mistake is to choose any common factor instead of the largest one. Always make sure to identify all common factors and then select the greatest one.
- Another mistake is to forget to list all factors of each number. Ensure that all factors are correctly identified before comparing.
AI-generated content may contain errors. Please verify critical information
