What two numbers have a GCF of 2003?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2003.

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 2003. Below is the beginning list of multiples of 2003 (1 through 7) in numerical order.

1. 2003
2. 4006
3. 6009
4. 8012
5. 10015
6. 12018
7. 14021
etc...

Two numbers that have a GCF of 2003 can be 2003 and any other number on the list above. Thus, two numbers that have a GCF of 2003 are:

2003 & 4006
2003 & 6009
2003 & 8012
etc...

That is not all! Any combination of any multiple of 2003 and "odd" multiples of 2003 will also have GCF of 2003. 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 2003.

4006 & 6009
4006 & 10015
8012 & 10015
8012 & 14021
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2003. 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 2003, what are the numbers?" or "What are two numbers whose GCF is 2003?"

What two numbers have a GCF of 2004?
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