What two numbers have a GCF of 1997?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1997.

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 1997. Below is the beginning list of multiples of 1997 (1 through 7) in numerical order.

1. 1997
2. 3994
3. 5991
4. 7988
5. 9985
6. 11982
7. 13979
etc...

Two numbers that have a GCF of 1997 can be 1997 and any other number on the list above. Thus, two numbers that have a GCF of 1997 are:

1997 & 3994
1997 & 5991
1997 & 7988
etc...

That is not all! Any combination of any multiple of 1997 and "odd" multiples of 1997 will also have GCF of 1997. 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 1997.

3994 & 5991
3994 & 9985
7988 & 9985
7988 & 13979
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1997. 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 1997, what are the numbers?" or "What are two numbers whose GCF is 1997?"

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