What two numbers have a GCF of 1980?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1980.

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 1980. Below is the beginning list of multiples of 1980 (1 through 7) in numerical order.

1. 1980
2. 3960
3. 5940
4. 7920
5. 9900
6. 11880
7. 13860
etc...

Two numbers that have a GCF of 1980 can be 1980 and any other number on the list above. Thus, two numbers that have a GCF of 1980 are:

1980 & 3960
1980 & 5940
1980 & 7920
etc...

That is not all! Any combination of any multiple of 1980 and "odd" multiples of 1980 will also have GCF of 1980. 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 1980.

3960 & 5940
3960 & 9900
7920 & 9900
7920 & 13860
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1980. 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 1980, what are the numbers?" or "What are two numbers whose GCF is 1980?"

What two numbers have a GCF of 1981?
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