Find the greatest common factor. \[ 8 h^{2}, 2 h^{3} \]

To find the greatest common factor (GCF) of \(8 h^{2}\) and \(2 h^{3}\), we first look at the coefficients. The GCF of 8 and 2 is 2. Next, we consider the variable part; the GCF of \(h^{2}\) and \(h^{3}\) is \(h^{2}\) since we take the lowest power. Therefore, the GCF of \(8 h^{2}\) and \(2 h^{3}\) is: \[ 2 h^{2} \] Now you have the greatest common factor! Think of the GCF as the ultimate team player! Just like in a sports team where the best players complement each other, the GCF finds common ground between numbers and variables, bringing them together to simplify expressions or solve problems. It's all about teamwork making the dream work in math! Have you ever wondered how you might encounter GCF in real life? Imagine splitting a pizza! If you have two pizzas with 8 and 2 toppings respectively, the GCF helps you figure out how to share them evenly. GCF not only makes math easier, but it also comes in handy in everyday decisions!