What two numbers have a GCF of 1688?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1688.

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 1688. Below is the beginning list of multiples of 1688 (1 through 7) in numerical order.

1. 1688
2. 3376
3. 5064
4. 6752
5. 8440
6. 10128
7. 11816
etc...

Two numbers that have a GCF of 1688 can be 1688 and any other number on the list above. Thus, two numbers that have a GCF of 1688 are:

1688 & 3376
1688 & 5064
1688 & 6752
etc...

That is not all! Any combination of any multiple of 1688 and "odd" multiples of 1688 will also have GCF of 1688. 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 1688.

3376 & 5064
3376 & 8440
6752 & 8440
6752 & 11816
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1688. 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 1688, what are the numbers?" or "What are two numbers whose GCF is 1688?"

What two numbers have a GCF of 1689?
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