What two numbers have a GCF of 4002?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 4002.

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 4002. Below is the beginning list of multiples of 4002 (1 through 7) in numerical order.

1. 4002
2. 8004
3. 12006
4. 16008
5. 20010
6. 24012
7. 28014
etc...

Two numbers that have a GCF of 4002 can be 4002 and any other number on the list above. Thus, two numbers that have a GCF of 4002 are:

4002 & 8004
4002 & 12006
4002 & 16008
etc...

That is not all! Any combination of any multiple of 4002 and "odd" multiples of 4002 will also have GCF of 4002. 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 4002.

8004 & 12006
8004 & 20010
16008 & 20010
16008 & 28014
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 4002. 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 4002, what are the numbers?" or "What are two numbers whose GCF is 4002?"

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