What is the highest common factor of 25 and 50?
Understand the Problem
The question is asking to find the highest common factor, also known as the greatest common divisor (GCD), of the numbers 25 and 50. To solve it, we will identify the factors of both numbers and determine the largest factor they share.
Answer
The highest common factor of 25 and 50 is $25$.
Answer for screen readers
The highest common factor of 25 and 50 is $25$.
Steps to Solve
- Identify the factors of 25 The factors of a number are all integers that can divide that number without leaving a remainder.
For 25, the factors are: 1, 5, 25
- Identify the factors of 50 Similarly, we will find the factors of 50.
For 50, the factors are: 1, 2, 5, 10, 25, 50
- Find the common factors Now, we will look for factors that are present in both lists of factors.
The common factors of 25 and 50 are: 1, 5, 25
- Identify the highest common factor From the common factors listed, we need to determine the largest one.
The highest common factor (HCF) is: 25
The highest common factor of 25 and 50 is $25$.
More Information
The highest common factor (HCF) is also known as the greatest common divisor (GCD). It is useful for simplifying fractions and solving problems involving ratios. In this case, the HCF of 25 and 50 shows that 25 is the largest number that can evenly divide both values.
Tips
- Forgetting to list all factors correctly, which can lead to missing the highest common factor.
- Not checking all common factors before concluding, which might result in choosing a smaller common factor.
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