What two numbers have a GCF of 1684?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1684.

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 1684. Below is the beginning list of multiples of 1684 (1 through 7) in numerical order.

1. 1684
2. 3368
3. 5052
4. 6736
5. 8420
6. 10104
7. 11788
etc...

Two numbers that have a GCF of 1684 can be 1684 and any other number on the list above. Thus, two numbers that have a GCF of 1684 are:

1684 & 3368
1684 & 5052
1684 & 6736
etc...

That is not all! Any combination of any multiple of 1684 and "odd" multiples of 1684 will also have GCF of 1684. 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 1684.

3368 & 5052
3368 & 8420
6736 & 8420
6736 & 11788
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1684. 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 1684, what are the numbers?" or "What are two numbers whose GCF is 1684?"

What two numbers have a GCF of 1685?
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