What is the greatest common factor of 4 and 28?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 4 and 28. To solve this, we need to identify the factors of both numbers and determine the largest factor that is common to both.
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
- Identify the factors of each number
First, we'll list out the factors of both 4 and 28.
- Factors of 4 are: 1, 2, 4
- Factors of 28 are: 1, 2, 4, 7, 14, 28
- Find the common factors
Next, we will identify the factors that are common to both lists.
- The common factors of 4 and 28 are: 1, 2, 4
- Determine the greatest common factor
Finally, we look for the largest number in the common factors to find the GCF.
- The greatest common factor is 4.
The greatest common factor (GCF) of 4 and 28 is 4.
More Information
The greatest common factor is useful in simplifying fractions and solving problems related to ratios. The GCF can help to find the simplest form of fractions.
Tips
- Forgetting to list out all factors accurately; make sure to examine all possible factors of each number.
- Overlooking the common factors; it’s important to double-check which factors appear in both lists.
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