What are the greatest common factors of 24 and 36?

Understand the Problem

The question is asking to identify the greatest common factors of the numbers 24 and 36. This involves determining the factors of each number and then finding the common factors between them, ultimately identifying the largest one.

Answer

12
Answer for screen readers

The greatest common factor is 12

Steps to Solve

  1. Find the factors of each number

First, list all factors of 24 and 36.

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 common factors between the two sets.

Common factors: $${1, 2, 3, 4, 6, 12}$$

  1. Determine the greatest common factor

From the list of common factors, the largest one is 12.

The greatest common factor is 12

More Information

The greatest common factor (GCF) is the largest factor that divides two numbers. It's also known as the greatest common divisor (GCD).

Tips

A common mistake is to overlook the prime factorization method for finding the greatest common factor. This method can often simplify the process, especially for larger numbers.

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