What two numbers have a GCF of 3003?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 3003.

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 3003. Below is the beginning list of multiples of 3003 (1 through 7) in numerical order.

1. 3003
2. 6006
3. 9009
4. 12012
5. 15015
6. 18018
7. 21021
etc...

Two numbers that have a GCF of 3003 can be 3003 and any other number on the list above. Thus, two numbers that have a GCF of 3003 are:

3003 & 6006
3003 & 9009
3003 & 12012
etc...

That is not all! Any combination of any multiple of 3003 and "odd" multiples of 3003 will also have GCF of 3003. 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 3003.

6006 & 9009
6006 & 15015
12012 & 15015
12012 & 21021
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 3003. 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 3003, what are the numbers?" or "What are two numbers whose GCF is 3003?"

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