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. To solve it, we will identify the factors of both numbers and determine the highest factor that is common to both.
Answer
The greatest common factor is $25$.
Answer for screen readers
The greatest common factor (GCF) of 25 and 50 is $25$.
Steps to Solve
- List the factors of each number
First, we find the factors of both numbers. The factors of 25 are 1, 5, and 25. The factors of 50 are 1, 2, 5, 10, 25, and 50.
- Identify the common factors
Next, we look for the factors that both numbers share. The common factors of 25 and 50 are 1, 5, and 25.
- Determine the greatest common factor
Now, we identify the largest factor that is present in both sets of common factors. The greatest common factor (GCF) here is 25.
The greatest common factor (GCF) of 25 and 50 is $25$.
More Information
The GCF is significant because it helps in simplifying fractions and finding equivalent ratios. In this case, 25 is the highest number that divides both 25 and 50 evenly.
Tips
One common mistake is to confuse factors with multiples. Ensure you are listing factors that divide the number evenly and not multiples that result from the number.
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