What two numbers have a GCF of 1998?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1998.

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 1998. Below is the beginning list of multiples of 1998 (1 through 7) in numerical order.

1. 1998
2. 3996
3. 5994
4. 7992
5. 9990
6. 11988
7. 13986
etc...

Two numbers that have a GCF of 1998 can be 1998 and any other number on the list above. Thus, two numbers that have a GCF of 1998 are:

1998 & 3996
1998 & 5994
1998 & 7992
etc...

That is not all! Any combination of any multiple of 1998 and "odd" multiples of 1998 will also have GCF of 1998. 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 1998.

3996 & 5994
3996 & 9990
7992 & 9990
7992 & 13986
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1998. 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 1998, what are the numbers?" or "What are two numbers whose GCF is 1998?"

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