What two numbers have a GCF of 5001?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 5001.

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 5001. Below is the beginning list of multiples of 5001 (1 through 7) in numerical order.

1. 5001
2. 10002
3. 15003
4. 20004
5. 25005
6. 30006
7. 35007
etc...

Two numbers that have a GCF of 5001 can be 5001 and any other number on the list above. Thus, two numbers that have a GCF of 5001 are:

5001 & 10002
5001 & 15003
5001 & 20004
etc...

That is not all! Any combination of any multiple of 5001 and "odd" multiples of 5001 will also have GCF of 5001. 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 5001.

10002 & 15003
10002 & 25005
20004 & 25005
20004 & 35007
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 5001. 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 5001, what are the numbers?" or "What are two numbers whose GCF is 5001?"

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