What two numbers have a GCF of 17?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 17.

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 17. Below is the beginning list of multiples of 17 (1 through 7) in numerical order.

1. 17
2. 34
3. 51
4. 68
5. 85
6. 102
7. 119
etc...

Two numbers that have a GCF of 17 can be 17 and any other number on the list above. Thus, two numbers that have a GCF of 17 are:

17 & 34
17 & 51
17 & 68
etc...

That is not all! Any combination of any multiple of 17 and "odd" multiples of 17 will also have GCF of 17. 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 17.

34 & 51
34 & 85
68 & 85
68 & 119
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 17. 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 17, what are the numbers?" or "What are two numbers whose GCF is 17?"

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