What is the GCF 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 find the largest factor that they share 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 28
To find the factors of 28, we need to identify the numbers that divide 28 evenly. The factors of 28 are: 1, 2, 4, 7, 14, 28
- List the factors of 48
Next, we list the factors of 48 by identifying the numbers that divide 48 evenly. The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Identify the common factors
Now, we will find the factors that are common to both numbers: Common factors of 28 and 48 are: 1, 2, 4
- Find the greatest common factor
Among the common factors, the greatest factor is: $$ \text{GCF} = 4 $$
The greatest common factor (GCF) of 28 and 48 is $4$.
More Information
The GCF is useful in simplifying fractions and finding common denominators. The concept of GCF helps in various areas of mathematics, including solving problems related to ratios and proportions.
Tips
- Confusing GCF with the Least Common Multiple (LCM): Always remember that GCF looks for common factors, while LCM looks for common multiples.
- Not listing all factors correctly: Double-check your factor lists to ensure none are missed.
