What two numbers have a GCF of 999?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 999.

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 999. Below is the beginning list of multiples of 999 (1 through 7) in numerical order.

1. 999
2. 1998
3. 2997
4. 3996
5. 4995
6. 5994
7. 6993
etc...

Two numbers that have a GCF of 999 can be 999 and any other number on the list above. Thus, two numbers that have a GCF of 999 are:

999 & 1998
999 & 2997
999 & 3996
etc...

That is not all! Any combination of any multiple of 999 and "odd" multiples of 999 will also have GCF of 999. 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 999.

1998 & 2997
1998 & 4995
3996 & 4995
3996 & 6993
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 999. 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 999, what are the numbers?" or "What are two numbers whose GCF is 999?"

What two numbers have a GCF of 1000?
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