What two numbers have a GCF of 2013?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2013.

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 2013. Below is the beginning list of multiples of 2013 (1 through 7) in numerical order.

1. 2013
2. 4026
3. 6039
4. 8052
5. 10065
6. 12078
7. 14091
etc...

Two numbers that have a GCF of 2013 can be 2013 and any other number on the list above. Thus, two numbers that have a GCF of 2013 are:

2013 & 4026
2013 & 6039
2013 & 8052
etc...

That is not all! Any combination of any multiple of 2013 and "odd" multiples of 2013 will also have GCF of 2013. 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 2013.

4026 & 6039
4026 & 10065
8052 & 10065
8052 & 14091
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2013. 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 2013, what are the numbers?" or "What are two numbers whose GCF is 2013?"

What two numbers have a GCF of 2014?
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