What is the GCF of 28 and 32?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 28 and 32. The GCF is the largest positive integer that divides both numbers without leaving a remainder.
Answer
The GCF of 28 and 32 is 4.
Answer for screen readers
The greatest common factor (GCF) of 28 and 32 is 4.
Steps to Solve
- List the factors of each number
To find the GCF, we first find all the factors of 28 and 32.
- Factors of 28: 1, 2, 4, 7, 14, 28
- Factors of 32: 1, 2, 4, 8, 16, 32
- Identify the common factors
Next, we look for the factors that appear in both lists.
Common factors of 28 and 32: 1, 2, 4
- Determine the greatest common factor
Now, from the common factors, we need to find the largest one.
The greatest common factor is 4.
The greatest common factor (GCF) of 28 and 32 is 4.
More Information
The GCF represents the largest number that can evenly divide both original numbers. Understanding GCF has practical applications in simplifying fractions and solving problems related to ratios.
Tips
A common mistake is forgetting to list all factors correctly or confusing GCF with the least common multiple (LCM). To avoid this, double-check each factor list and ensure you're looking for the largest common factor.
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