What is a common factor of 24 and 36?
Understand the Problem
The question is asking for a common factor between the numbers 24 and 36, which means we need to identify the integers that divide both numbers without leaving a remainder.
Answer
6
Answer for screen readers
One common factor is 6
Steps to Solve
- List the factors of each number
List all the integers that divide 24 and 36 without leaving a remainder.
For 24: $1, 2, 3, 4, 6, 8, 12, 24$
For 36: $1, 2, 3, 4, 6, 9, 12, 18, 36$
- Identify the common factors
Find the integers that are in both lists.
Common factors of 24 and 36: $1, 2, 3, 4, 6, 12$
- Select any common factor
From the common factors identified, you can choose any one.
One common factor is 6.
One common factor is 6
More Information
The Greatest Common Factor (GCF) of 24 and 36 is 12. Knowing multiple common factors helps in solving fraction problems, simplifying ratios, and in algebra.
Tips
Be sure to list all factors of each number carefully to ensure you find all common factors.
