What is the GCF of 4 and 28?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 4 and 28. This involves identifying the largest number that divides both numbers without leaving a remainder.
Answer
The GCF of 4 and 28 is $4$.
Answer for screen readers
The greatest common factor (GCF) of 4 and 28 is $4$.
Steps to Solve
- List the factors of each number
To find the GCF, we start by listing all the factors of the two numbers, 4 and 28.
The factors of 4 are:
1, 2, 4
The factors of 28 are:
1, 2, 4, 7, 14, 28
- Identify the common factors
Next, we find the common factors between the two lists we created.
Common factors of 4 and 28 are:
1, 2, 4
- Determine the greatest common factor
Now, we look for the largest factor that appears in both lists.
The largest common factor is:
4
The greatest common factor (GCF) of 4 and 28 is $4$.
More Information
The GCF is an important concept in number theory. It is used in simplifying fractions, finding common denominators, and in various applications of mathematics.
Tips
- Forgetting to list all factors: Always make sure to list all factors of both numbers, as it helps ensure you don't miss any common factors.
- Not identifying the largest common factor: After finding common factors, ensure to select the largest one, as that's what the GCF represents.
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