What two numbers have a GCF of 2993?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2993.

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 2993. Below is the beginning list of multiples of 2993 (1 through 7) in numerical order.

1. 2993
2. 5986
3. 8979
4. 11972
5. 14965
6. 17958
7. 20951
etc...

Two numbers that have a GCF of 2993 can be 2993 and any other number on the list above. Thus, two numbers that have a GCF of 2993 are:

2993 & 5986
2993 & 8979
2993 & 11972
etc...

That is not all! Any combination of any multiple of 2993 and "odd" multiples of 2993 will also have GCF of 2993. 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 2993.

5986 & 8979
5986 & 14965
11972 & 14965
11972 & 20951
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2993. 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 2993, what are the numbers?" or "What are two numbers whose GCF is 2993?"

What two numbers have a GCF of 2994?
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