What two numbers have a GCF of 217?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 217.

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 217. Below is the beginning list of multiples of 217 (1 through 7) in numerical order.

1. 217
2. 434
3. 651
4. 868
5. 1085
6. 1302
7. 1519
etc...

Two numbers that have a GCF of 217 can be 217 and any other number on the list above. Thus, two numbers that have a GCF of 217 are:

217 & 434
217 & 651
217 & 868
etc...

That is not all! Any combination of any multiple of 217 and "odd" multiples of 217 will also have GCF of 217. 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 217.

434 & 651
434 & 1085
868 & 1085
868 & 1519
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 217. 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 217, what are the numbers?" or "What are two numbers whose GCF is 217?"

What two numbers have a GCF of 218?
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