What two numbers have a GCF of 2688?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2688.

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 2688. Below is the beginning list of multiples of 2688 (1 through 7) in numerical order.

1. 2688
2. 5376
3. 8064
4. 10752
5. 13440
6. 16128
7. 18816
etc...

Two numbers that have a GCF of 2688 can be 2688 and any other number on the list above. Thus, two numbers that have a GCF of 2688 are:

2688 & 5376
2688 & 8064
2688 & 10752
etc...

That is not all! Any combination of any multiple of 2688 and "odd" multiples of 2688 will also have GCF of 2688. 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 2688.

5376 & 8064
5376 & 13440
10752 & 13440
10752 & 18816
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2688. 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 2688, what are the numbers?" or "What are two numbers whose GCF is 2688?"

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