What two numbers have a GCF of 517?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 517.

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 517. Below is the beginning list of multiples of 517 (1 through 7) in numerical order.

1. 517
2. 1034
3. 1551
4. 2068
5. 2585
6. 3102
7. 3619
etc...

Two numbers that have a GCF of 517 can be 517 and any other number on the list above. Thus, two numbers that have a GCF of 517 are:

517 & 1034
517 & 1551
517 & 2068
etc...

That is not all! Any combination of any multiple of 517 and "odd" multiples of 517 will also have GCF of 517. 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 517.

1034 & 1551
1034 & 2585
2068 & 2585
2068 & 3619
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 517. 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 517, what are the numbers?" or "What are two numbers whose GCF is 517?"

What two numbers have a GCF of 518?
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