What two numbers have a GCF of 5005?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 5005.

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 5005. Below is the beginning list of multiples of 5005 (1 through 7) in numerical order.

1. 5005
2. 10010
3. 15015
4. 20020
5. 25025
6. 30030
7. 35035
etc...

Two numbers that have a GCF of 5005 can be 5005 and any other number on the list above. Thus, two numbers that have a GCF of 5005 are:

5005 & 10010
5005 & 15015
5005 & 20020
etc...

That is not all! Any combination of any multiple of 5005 and "odd" multiples of 5005 will also have GCF of 5005. 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 5005.

10010 & 15015
10010 & 25025
20020 & 25025
20020 & 35035
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 5005. 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 5005, what are the numbers?" or "What are two numbers whose GCF is 5005?"

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