What two numbers have a GCF of 2667?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2667.

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 2667. Below is the beginning list of multiples of 2667 (1 through 7) in numerical order.

1. 2667
2. 5334
3. 8001
4. 10668
5. 13335
6. 16002
7. 18669
etc...

Two numbers that have a GCF of 2667 can be 2667 and any other number on the list above. Thus, two numbers that have a GCF of 2667 are:

2667 & 5334
2667 & 8001
2667 & 10668
etc...

That is not all! Any combination of any multiple of 2667 and "odd" multiples of 2667 will also have GCF of 2667. 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 2667.

5334 & 8001
5334 & 13335
10668 & 13335
10668 & 18669
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2667. 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 2667, what are the numbers?" or "What are two numbers whose GCF is 2667?"

What two numbers have a GCF of 2668?
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