What two numbers have a GCF of 1707?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1707.

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 1707. Below is the beginning list of multiples of 1707 (1 through 7) in numerical order.

1. 1707
2. 3414
3. 5121
4. 6828
5. 8535
6. 10242
7. 11949
etc...

Two numbers that have a GCF of 1707 can be 1707 and any other number on the list above. Thus, two numbers that have a GCF of 1707 are:

1707 & 3414
1707 & 5121
1707 & 6828
etc...

That is not all! Any combination of any multiple of 1707 and "odd" multiples of 1707 will also have GCF of 1707. 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 1707.

3414 & 5121
3414 & 8535
6828 & 8535
6828 & 11949
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1707. 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 1707, what are the numbers?" or "What are two numbers whose GCF is 1707?"

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