What is the GCF of 25 and 50?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 25 and 50. The GCF is the largest positive integer that divides both numbers without leaving a remainder.
Answer
The GCF of 25 and 50 is $25$.
Answer for screen readers
The greatest common factor of 25 and 50 is 25.
Steps to Solve
- List the factors of each number
To find the GCF, first list all the factors of 25 and 50.
Factors of 25: 1, 5, 25
Factors of 50: 1, 2, 5, 10, 25, 50
- Identify the common factors
Next, identify the factors that are common to both lists.
Common factors: 1, 5, 25
- Find the greatest common factor
Finally, from the common factors, identify the largest one, which will be the GCF.
The GCF is 25.
The greatest common factor of 25 and 50 is 25.
More Information
The GCF is useful in simplifying fractions, finding least common multiples, and solving problems that require finding shared divisors.
Tips
- Forgetting to list all factors: Some may miss factors like 1 or a larger factor like 25. It's essential to list them all.
- Confusing GCF with LCM (Least Common Multiple): Make sure to focus on common factors, not multiples.
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