What is the GCF of 27 and 54?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 27 and 54. The GCF is the largest number that divides both numbers without leaving a remainder. To solve this, we can list the factors of each number and find the largest one they have in common.
Answer
The GCF of 27 and 54 is $27$.
Answer for screen readers
The greatest common factor (GCF) of 27 and 54 is $27$.
Steps to Solve
- List the factors of 27
To find the factors of 27, we can divide it by all numbers from 1 to 27. The factors of 27 are: 1, 3, 9, 27
- List the factors of 54
Next, we do the same for 54. The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54
- Identify common factors
Now we need to compare both lists of factors. The common factors of 27 and 54 are: 1, 3, 9, 27
- Find the greatest common factor
From the list of common factors, we determine the largest one. The greatest common factor is: 27
The greatest common factor (GCF) of 27 and 54 is $27$.
More Information
The GCF is useful in various mathematical applications, such as simplifying fractions or finding common denominators. In this case, 27 is the largest factor that divides both numbers without a remainder.
Tips
- Not listing all factors: Sometimes, people may skip some factors. Ensure you list all factors completely to find the correct GCF.
- Choosing the wrong common factor: Make sure to check that the common factor you select is indeed the largest one.
