What two numbers have a GCF of 686?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 686.

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 686. Below is the beginning list of multiples of 686 (1 through 7) in numerical order.

1. 686
2. 1372
3. 2058
4. 2744
5. 3430
6. 4116
7. 4802
etc...

Two numbers that have a GCF of 686 can be 686 and any other number on the list above. Thus, two numbers that have a GCF of 686 are:

686 & 1372
686 & 2058
686 & 2744
etc...

That is not all! Any combination of any multiple of 686 and "odd" multiples of 686 will also have GCF of 686. 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 686.

1372 & 2058
1372 & 3430
2744 & 3430
2744 & 4802
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 686. 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 686, what are the numbers?" or "What are two numbers whose GCF is 686?"

What two numbers have a GCF of 687?
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