What is the greatest common factor of 28 and 48?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 28 and 48. To solve this, we will identify the factors of both numbers and determine the largest one they have in common.
Answer
4
Answer for screen readers
The greatest common factor (GCF) of 28 and 48 is 4.
Steps to Solve
- List the Factors of Each Number
To find the GCF, we first need to list all the factors of both numbers.
Factors of 28: 1, 2, 4, 7, 14, 28
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Identify Common Factors
Next, we look for the factors that both 28 and 48 have in common.
Common factors: 1, 2, 4
- Find the Greatest Common Factor
Now we need to determine the largest number from the common factors.
The largest common factor is 4.
The greatest common factor (GCF) of 28 and 48 is 4.
More Information
The GCF is useful for simplifying fractions, solving problems involving ratios, and finding common denominators. Understanding how to find the GCF is fundamental in number theory.
Tips
- Forgetting to list all factors: Ensure that all factors are considered when determining the GCF.
- Not identifying all common factors: Double-check to make sure no common factors are missed.
