What two numbers have a GCF of 2004?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2004.

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 2004. Below is the beginning list of multiples of 2004 (1 through 7) in numerical order.

1. 2004
2. 4008
3. 6012
4. 8016
5. 10020
6. 12024
7. 14028
etc...

Two numbers that have a GCF of 2004 can be 2004 and any other number on the list above. Thus, two numbers that have a GCF of 2004 are:

2004 & 4008
2004 & 6012
2004 & 8016
etc...

That is not all! Any combination of any multiple of 2004 and "odd" multiples of 2004 will also have GCF of 2004. 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 2004.

4008 & 6012
4008 & 10020
8016 & 10020
8016 & 14028
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2004. 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 2004, what are the numbers?" or "What are two numbers whose GCF is 2004?"

What two numbers have a GCF of 2005?
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