Finding the greatest common factor, or GCF, of two numbers may seem difficult, but with a few simple steps, it can be easily solved. In this case, we are tasked with finding the GCF of 9 and 6.

The first step is to list out all the factors of each number. The factors of 9 are 1, 3, and 9. The factors of 6 are 1, 2, 3, and 6.

Next, we need to identify the factors that both 9 and 6 share. These are 1 and 3. To find the GCF, we simply choose the largest common factor, which in this case is 3.

Therefore, the GCF of 9 and 6 is 3.

It’s important to note that finding the GCF can be useful in simplifying fractions, as the GCF can be divided out of both the numerator and denominator to create an equivalent fraction. It’s also important to remember that every pair of numbers has a GCF of at least 1.

In conclusion, finding the GCF of 9 and 6 is a simple process of listing out the factors and identifying the common factors. In this case, the GCF is 3, which can be useful in simplifying fractions or determining other mathematical relationships between the two numbers.