What two numbers have a GCF of 1996?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1996.

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 1996. Below is the beginning list of multiples of 1996 (1 through 7) in numerical order.

1. 1996
2. 3992
3. 5988
4. 7984
5. 9980
6. 11976
7. 13972
etc...

Two numbers that have a GCF of 1996 can be 1996 and any other number on the list above. Thus, two numbers that have a GCF of 1996 are:

1996 & 3992
1996 & 5988
1996 & 7984
etc...

That is not all! Any combination of any multiple of 1996 and "odd" multiples of 1996 will also have GCF of 1996. 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 1996.

3992 & 5988
3992 & 9980
7984 & 9980
7984 & 13972
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1996. 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 1996, what are the numbers?" or "What are two numbers whose GCF is 1996?"

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