What is the GCF of 54 and 27?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 54 and 27, which involves finding the largest number that can divide both of them without leaving a remainder.
Answer
The GCF of 54 and 27 is $27$.
Answer for screen readers
The greatest common factor (GCF) of 54 and 27 is 27.
Steps to Solve
- List the Factors of Each Number
Start by finding the factors of both numbers, 54 and 27.
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
Factors of 27: 1, 3, 9, 27
- Identify the Common Factors
Next, identify the factors that are common to both lists.
Common Factors of 54 and 27: 1, 3, 9, 27
- Determine the Greatest Common Factor
Out of the common factors, the greatest one is the greatest common factor (GCF).
The GCF is 27.
The greatest common factor (GCF) of 54 and 27 is 27.
More Information
The GCF is useful in various math problems, including simplifying fractions and finding equivalent fractions. Knowing the GCF can also help in solving problems related to ratios.
Tips
- Listing factors incorrectly: Always double-check that all factors are included.
- Confusing the concepts of factors and multiples: Remember that factors divide evenly into the number, whereas multiples are a result of multiplying the number by integers.
