What two numbers have a GCF of 1697?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1697.

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 1697. Below is the beginning list of multiples of 1697 (1 through 7) in numerical order.

1. 1697
2. 3394
3. 5091
4. 6788
5. 8485
6. 10182
7. 11879
etc...

Two numbers that have a GCF of 1697 can be 1697 and any other number on the list above. Thus, two numbers that have a GCF of 1697 are:

1697 & 3394
1697 & 5091
1697 & 6788
etc...

That is not all! Any combination of any multiple of 1697 and "odd" multiples of 1697 will also have GCF of 1697. 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 1697.

3394 & 5091
3394 & 8485
6788 & 8485
6788 & 11879
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1697. 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 1697, what are the numbers?" or "What are two numbers whose GCF is 1697?"

What two numbers have a GCF of 1698?
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