What two numbers have a GCF of 1001?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1001.

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 1001. Below is the beginning list of multiples of 1001 (1 through 7) in numerical order.

1. 1001
2. 2002
3. 3003
4. 4004
5. 5005
6. 6006
7. 7007
etc...

Two numbers that have a GCF of 1001 can be 1001 and any other number on the list above. Thus, two numbers that have a GCF of 1001 are:

1001 & 2002
1001 & 3003
1001 & 4004
etc...

That is not all! Any combination of any multiple of 1001 and "odd" multiples of 1001 will also have GCF of 1001. 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 1001.

2002 & 3003
2002 & 5005
4004 & 5005
4004 & 7007
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1001. 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 1001, what are the numbers?" or "What are two numbers whose GCF is 1001?"

What two numbers have a GCF of 1002?
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