What two numbers have a GCF of 2001?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2001.

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 2001. Below is the beginning list of multiples of 2001 (1 through 7) in numerical order.

1. 2001
2. 4002
3. 6003
4. 8004
5. 10005
6. 12006
7. 14007
etc...

Two numbers that have a GCF of 2001 can be 2001 and any other number on the list above. Thus, two numbers that have a GCF of 2001 are:

2001 & 4002
2001 & 6003
2001 & 8004
etc...

That is not all! Any combination of any multiple of 2001 and "odd" multiples of 2001 will also have GCF of 2001. 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 2001.

4002 & 6003
4002 & 10005
8004 & 10005
8004 & 14007
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2001. 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 2001, what are the numbers?" or "What are two numbers whose GCF is 2001?"

What two numbers have a GCF of 2002?
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