What two numbers have a GCF of 1682?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1682.

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 1682. Below is the beginning list of multiples of 1682 (1 through 7) in numerical order.

1. 1682
2. 3364
3. 5046
4. 6728
5. 8410
6. 10092
7. 11774
etc...

Two numbers that have a GCF of 1682 can be 1682 and any other number on the list above. Thus, two numbers that have a GCF of 1682 are:

1682 & 3364
1682 & 5046
1682 & 6728
etc...

That is not all! Any combination of any multiple of 1682 and "odd" multiples of 1682 will also have GCF of 1682. 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 1682.

3364 & 5046
3364 & 8410
6728 & 8410
6728 & 11774
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1682. 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 1682, what are the numbers?" or "What are two numbers whose GCF is 1682?"

What two numbers have a GCF of 1683?
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