What two numbers have a GCF of 2517?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2517.

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 2517. Below is the beginning list of multiples of 2517 (1 through 7) in numerical order.

1. 2517
2. 5034
3. 7551
4. 10068
5. 12585
6. 15102
7. 17619
etc...

Two numbers that have a GCF of 2517 can be 2517 and any other number on the list above. Thus, two numbers that have a GCF of 2517 are:

2517 & 5034
2517 & 7551
2517 & 10068
etc...

That is not all! Any combination of any multiple of 2517 and "odd" multiples of 2517 will also have GCF of 2517. 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 2517.

5034 & 7551
5034 & 12585
10068 & 12585
10068 & 17619
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2517. 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 2517, what are the numbers?" or "What are two numbers whose GCF is 2517?"

What two numbers have a GCF of 2518?
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