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

  1. 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: $1, 2, 3, 4, 6, 9, 12, 18, 36$

  1. Identify the common factors

Find the integers that are in both lists.

Common factors of 24 and 36: $1, 2, 3, 4, 6, 12$

  1. 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.

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