What two numbers have a GCF of 317?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 317.

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 317. Below is the beginning list of multiples of 317 (1 through 7) in numerical order.

1. 317
2. 634
3. 951
4. 1268
5. 1585
6. 1902
7. 2219
etc...

Two numbers that have a GCF of 317 can be 317 and any other number on the list above. Thus, two numbers that have a GCF of 317 are:

317 & 634
317 & 951
317 & 1268
etc...

That is not all! Any combination of any multiple of 317 and "odd" multiples of 317 will also have GCF of 317. 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 317.

634 & 951
634 & 1585
1268 & 1585
1268 & 2219
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 317. 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 317, what are the numbers?" or "What are two numbers whose GCF is 317?"

What two numbers have a GCF of 318?
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