# Solving for the Greatest Common Factor of 4 and 10

When tasked with solving for the Greatest Common Factor of 4 and 10, there are a few steps that one can take to arrive at the correct answer.

First, it’s important to know what the Greatest Common Factor (GCF) actually is. Essentially, the GCF is the largest number that can divide into two given numbers without leaving any remainder. In other words, it’s the biggest factor that two numbers have in common.

To find the GCF of 4 and 10, we can start by listing out all of the factors of each number. For 4, the factors are 1, 2, and 4. For 10, the factors are 1, 2, 5, and 10.

Next, we want to identify the largest factor that both 4 and 10 have in common. Looking at our lists, we can see that the only factor that appears in both lists is 2. Therefore, the GCF of 4 and 10 is 2.

It’s worth noting that there are other methods that can be used to find the GCF, such as using prime factorization or the Euclidean algorithm. However, for small numbers like 4 and 10, simply listing out the factors and identifying the largest common factor is often the easiest approach.

In summary, finding the Greatest Common Factor of 4 and 10 involves listing out the factors of each number and identifying the largest factor that they have in common. In this case, the GCF is 2.