GCF of 63 and 54
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 63 and 54. To find it, we will identify the factors of both numbers and determine the largest number that appears in both lists.
Answer
The GCF of 63 and 54 is $9$.
Answer for screen readers
The GCF of 63 and 54 is $9$.
Steps to Solve
- List the factors of 63
To find the factors of 63, we need to identify all the numbers that divide 63 without leaving a remainder. The factors are:
1, 3, 7, 9, 21, 63.
- List the factors of 54
Next, we find the factors of 54 in a similar manner. The factors are:
1, 2, 3, 6, 9, 18, 27, 54.
- Identify the common factors
Now, we look for the numbers that appear in both lists of factors. The common factors of 63 and 54 are:
1, 3, 9.
- Find the greatest common factor
The greatest common factor is the largest number in the list of common factors, which is:
$$ GCF = 9 $$
The GCF of 63 and 54 is $9$.
More Information
The greatest common factor (GCF) is an important concept in number theory. It can be used to simplify fractions and solve problems involving divisibility. Recognizing common factors makes it easier to work with numbers in various mathematical applications.
Tips
- Skipping the listing of factors, which may lead to missing the common ones.
- Confusing GCF with least common multiple (LCM).
