What two numbers have a GCF of 3001?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 3001.

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 3001. Below is the beginning list of multiples of 3001 (1 through 7) in numerical order.

1. 3001
2. 6002
3. 9003
4. 12004
5. 15005
6. 18006
7. 21007
etc...

Two numbers that have a GCF of 3001 can be 3001 and any other number on the list above. Thus, two numbers that have a GCF of 3001 are:

3001 & 6002
3001 & 9003
3001 & 12004
etc...

That is not all! Any combination of any multiple of 3001 and "odd" multiples of 3001 will also have GCF of 3001. 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 3001.

6002 & 9003
6002 & 15005
12004 & 15005
12004 & 21007
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 3001. 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 3001, what are the numbers?" or "What are two numbers whose GCF is 3001?"

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