# Solving the Problem: Finding the Greatest Common Factor of 8 and 10

Have you ever been given two numbers and tasked with finding their greatest common factor? It can be a bit intimidating at first, but with the right approach, it’s actually quite simple. Let’s take a look at how to find the greatest common factor of 8 and 10.

First, we need to understand what the greatest common factor (GCF) is. Essentially, it’s the largest number that divides evenly into both of our original numbers. For example, the GCF of 12 and 18 would be 6, because 6 is the largest number that goes into both 12 and 18 without leaving a remainder.

So, back to our original problem of finding the GCF of 8 and 10. The easiest way to do this is to list out the factors of each number and then look for the largest one they have in common. Let’s start with 8:

1, 2, 4, 8

Now, let’s list the factors of 10:

1, 2, 5, 10

As you can see, the only factor that these two numbers have in common is 2. Therefore, the GCF of 8 and 10 is 2.

It’s important to note that this method works for any two numbers, but it can become more time-consuming for larger numbers. In those cases, it may be helpful to use a prime factorization method instead.

Overall, finding the GCF of two numbers is a crucial skill in mathematics and can come in handy in a variety of situations. With a little practice, it becomes quite easy and can be done quickly and efficiently using the method we outlined above.