What two numbers have a GCF of 2005?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2005.

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 2005. Below is the beginning list of multiples of 2005 (1 through 7) in numerical order.

1. 2005
2. 4010
3. 6015
4. 8020
5. 10025
6. 12030
7. 14035
etc...

Two numbers that have a GCF of 2005 can be 2005 and any other number on the list above. Thus, two numbers that have a GCF of 2005 are:

2005 & 4010
2005 & 6015
2005 & 8020
etc...

That is not all! Any combination of any multiple of 2005 and "odd" multiples of 2005 will also have GCF of 2005. 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 2005.

4010 & 6015
4010 & 10025
8020 & 10025
8020 & 14035
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2005. 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 2005, what are the numbers?" or "What are two numbers whose GCF is 2005?"

What two numbers have a GCF of 2006?
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