What two numbers have a GCF of 684?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 684.

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 684. Below is the beginning list of multiples of 684 (1 through 7) in numerical order.

1. 684
2. 1368
3. 2052
4. 2736
5. 3420
6. 4104
7. 4788
etc...

Two numbers that have a GCF of 684 can be 684 and any other number on the list above. Thus, two numbers that have a GCF of 684 are:

684 & 1368
684 & 2052
684 & 2736
etc...

That is not all! Any combination of any multiple of 684 and "odd" multiples of 684 will also have GCF of 684. 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 684.

1368 & 2052
1368 & 3420
2736 & 3420
2736 & 4788
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 684. 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 684, what are the numbers?" or "What are two numbers whose GCF is 684?"

What two numbers have a GCF of 685?
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