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
- 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: $${1, 2, 3, 4, 6, 9, 12, 18, 36}$$
- Identify the common factors
Find the common factors between the two sets.
Common factors: $${1, 2, 3, 4, 6, 12}$$
- 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.
