What two numbers have a GCF of 2617?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2617.

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 2617. Below is the beginning list of multiples of 2617 (1 through 7) in numerical order.

1. 2617
2. 5234
3. 7851
4. 10468
5. 13085
6. 15702
7. 18319
etc...

Two numbers that have a GCF of 2617 can be 2617 and any other number on the list above. Thus, two numbers that have a GCF of 2617 are:

2617 & 5234
2617 & 7851
2617 & 10468
etc...

That is not all! Any combination of any multiple of 2617 and "odd" multiples of 2617 will also have GCF of 2617. 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 2617.

5234 & 7851
5234 & 13085
10468 & 13085
10468 & 18319
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2617. 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 2617, what are the numbers?" or "What are two numbers whose GCF is 2617?"

What two numbers have a GCF of 2618?
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