What two numbers have a GCF of 1986?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1986.

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 1986. Below is the beginning list of multiples of 1986 (1 through 7) in numerical order.

1. 1986
2. 3972
3. 5958
4. 7944
5. 9930
6. 11916
7. 13902
etc...

Two numbers that have a GCF of 1986 can be 1986 and any other number on the list above. Thus, two numbers that have a GCF of 1986 are:

1986 & 3972
1986 & 5958
1986 & 7944
etc...

That is not all! Any combination of any multiple of 1986 and "odd" multiples of 1986 will also have GCF of 1986. 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 1986.

3972 & 5958
3972 & 9930
7944 & 9930
7944 & 13902
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1986. 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 1986, what are the numbers?" or "What are two numbers whose GCF is 1986?"

What two numbers have a GCF of 1987?
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