What is the highest common factor of 30 and 50?
Understand the Problem
The question is asking for the highest common factor (HCF) of the numbers 30 and 50. To solve this, we will need to determine the factors of both numbers and identify the largest factor that they share.
Answer
The highest common factor (HCF) of 30 and 50 is $10$.
Answer for screen readers
The highest common factor (HCF) of 30 and 50 is $10$.
Steps to Solve
- Find the Factors of 30
List the factors of the number 30. The factors are the integers that can divide 30 without leaving a remainder. The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
- Find the Factors of 50
Now, list the factors of the number 50 in the same way. The factors of 50 are: 1, 2, 5, 10, 25, 50
- Identify Common Factors
Next, identify the factors that both numbers share. Look for the factors that are in both lists.
The common factors of 30 and 50 are: 1, 2, 5, 10
- Determine the Highest Common Factor
Finally, from the common factors identified, select the largest one. The largest common factor is 10.
The highest common factor (HCF) of 30 and 50 is $10$.
More Information
The highest common factor is useful in various applications, such as simplifying fractions or finding common denominators. In this case, the HCF helps to understand the relationship between the numbers 30 and 50.
Tips
- Forgetting to list all factors or mixing up the order. Ensure you systematically find all factors.
- Misidentifying the common factors due to oversight. It helps to write down both lists clearly.
