What two numbers have a GCF of 1003?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1003.

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 1003. Below is the beginning list of multiples of 1003 (1 through 7) in numerical order.

1. 1003
2. 2006
3. 3009
4. 4012
5. 5015
6. 6018
7. 7021
etc...

Two numbers that have a GCF of 1003 can be 1003 and any other number on the list above. Thus, two numbers that have a GCF of 1003 are:

1003 & 2006
1003 & 3009
1003 & 4012
etc...

That is not all! Any combination of any multiple of 1003 and "odd" multiples of 1003 will also have GCF of 1003. 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 1003.

2006 & 3009
2006 & 5015
4012 & 5015
4012 & 7021
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1003. 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 1003, what are the numbers?" or "What are two numbers whose GCF is 1003?"

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