What two numbers have a GCF of 2017?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2017.

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 2017. Below is the beginning list of multiples of 2017 (1 through 7) in numerical order.

1. 2017
2. 4034
3. 6051
4. 8068
5. 10085
6. 12102
7. 14119
etc...

Two numbers that have a GCF of 2017 can be 2017 and any other number on the list above. Thus, two numbers that have a GCF of 2017 are:

2017 & 4034
2017 & 6051
2017 & 8068
etc...

That is not all! Any combination of any multiple of 2017 and "odd" multiples of 2017 will also have GCF of 2017. 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 2017.

4034 & 6051
4034 & 10085
8068 & 10085
8068 & 14119
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2017. 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 2017, what are the numbers?" or "What are two numbers whose GCF is 2017?"

What two numbers have a GCF of 2018?
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