What two numbers have a GCF of 1005?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1005.

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 1005. Below is the beginning list of multiples of 1005 (1 through 7) in numerical order.

1. 1005
2. 2010
3. 3015
4. 4020
5. 5025
6. 6030
7. 7035
etc...

Two numbers that have a GCF of 1005 can be 1005 and any other number on the list above. Thus, two numbers that have a GCF of 1005 are:

1005 & 2010
1005 & 3015
1005 & 4020
etc...

That is not all! Any combination of any multiple of 1005 and "odd" multiples of 1005 will also have GCF of 1005. 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 1005.

2010 & 3015
2010 & 5025
4020 & 5025
4020 & 7035
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1005. 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 1005, what are the numbers?" or "What are two numbers whose GCF is 1005?"

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