What two numbers have a GCF of 1982?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1982.

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 1982. Below is the beginning list of multiples of 1982 (1 through 7) in numerical order.

1. 1982
2. 3964
3. 5946
4. 7928
5. 9910
6. 11892
7. 13874
etc...

Two numbers that have a GCF of 1982 can be 1982 and any other number on the list above. Thus, two numbers that have a GCF of 1982 are:

1982 & 3964
1982 & 5946
1982 & 7928
etc...

That is not all! Any combination of any multiple of 1982 and "odd" multiples of 1982 will also have GCF of 1982. 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 1982.

3964 & 5946
3964 & 9910
7928 & 9910
7928 & 13874
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1982. The lists we created can go on forever.

Two numbers have a GCF of Calculator
Need the answer to a similar problem? Enter your GCF below to find the two numbers with that GCF.

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 1982, what are the numbers?" or "What are two numbers whose GCF is 1982?"

What two numbers have a GCF of 1983?
Need more knowledge? Go here for the next question we explained and solved.