What two numbers have a GCF of 1999?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1999.

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 1999. Below is the beginning list of multiples of 1999 (1 through 7) in numerical order.

1. 1999
2. 3998
3. 5997
4. 7996
5. 9995
6. 11994
7. 13993
etc...

Two numbers that have a GCF of 1999 can be 1999 and any other number on the list above. Thus, two numbers that have a GCF of 1999 are:

1999 & 3998
1999 & 5997
1999 & 7996
etc...

That is not all! Any combination of any multiple of 1999 and "odd" multiples of 1999 will also have GCF of 1999. 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 1999.

3998 & 5997
3998 & 9995
7996 & 9995
7996 & 13993
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1999. 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 1999, what are the numbers?" or "What are two numbers whose GCF is 1999?"

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