What two numbers have a GCF of 2007?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2007.

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 2007. Below is the beginning list of multiples of 2007 (1 through 7) in numerical order.

1. 2007
2. 4014
3. 6021
4. 8028
5. 10035
6. 12042
7. 14049
etc...

Two numbers that have a GCF of 2007 can be 2007 and any other number on the list above. Thus, two numbers that have a GCF of 2007 are:

2007 & 4014
2007 & 6021
2007 & 8028
etc...

That is not all! Any combination of any multiple of 2007 and "odd" multiples of 2007 will also have GCF of 2007. 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 2007.

4014 & 6021
4014 & 10035
8028 & 10035
8028 & 14049
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2007. 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 2007, what are the numbers?" or "What are two numbers whose GCF is 2007?"

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