What two numbers have a GCF of 2018?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2018.

There is actually an infinite number of answers to this question. First, note that both the numbers we are looking for must be multiples of 2018. Below is the beginning list of multiples of 2018 (1 through 7) in numerical order.

1. 2018
2. 4036
3. 6054
4. 8072
5. 10090
6. 12108
7. 14126
etc...

Two numbers that have a GCF of 2018 can be 2018 and any other number on the list above. Thus, two numbers that have a GCF of 2018 are:

2018 & 4036
2018 & 6054
2018 & 8072
etc...

That is not all! Any combination of any multiple of 2018 and "odd" multiples of 2018 will also have GCF of 2018. We numbered the multiples above so it would be easy to identify the "odd" multiples (number 1, 3, 5, 7, etc). Thus, here are some more examples of two numbers that also have a GCF of 2018.

4036 & 6054
4036 & 10090
8072 & 10090
8072 & 14126
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2018. The lists we created can go on forever.

Two numbers have a GCF of Calculator
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Teacher Tip: If you are a teacher, you could ask these questions of your students: "I am thinking of two numbers and the GCF is 2018, what are the numbers?" or "What are two numbers whose GCF is 2018?"

What two numbers have a GCF of 2019?
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