What two numbers have a GCF of 2999?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2999.

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 2999. Below is the beginning list of multiples of 2999 (1 through 7) in numerical order.

1. 2999
2. 5998
3. 8997
4. 11996
5. 14995
6. 17994
7. 20993
etc...

Two numbers that have a GCF of 2999 can be 2999 and any other number on the list above. Thus, two numbers that have a GCF of 2999 are:

2999 & 5998
2999 & 8997
2999 & 11996
etc...

That is not all! Any combination of any multiple of 2999 and "odd" multiples of 2999 will also have GCF of 2999. 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 2999.

5998 & 8997
5998 & 14995
11996 & 14995
11996 & 20993
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2999. 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 2999, what are the numbers?" or "What are two numbers whose GCF is 2999?"

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