What two numbers have a GCF of 343?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 343.

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 343. Below is the beginning list of multiples of 343 (1 through 7) in numerical order.

1. 343
2. 686
3. 1029
4. 1372
5. 1715
6. 2058
7. 2401
etc...

Two numbers that have a GCF of 343 can be 343 and any other number on the list above. Thus, two numbers that have a GCF of 343 are:

343 & 686
343 & 1029
343 & 1372
etc...

That is not all! Any combination of any multiple of 343 and "odd" multiples of 343 will also have GCF of 343. 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 343.

686 & 1029
686 & 1715
1372 & 1715
1372 & 2401
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 343. 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 343, what are the numbers?" or "What are two numbers whose GCF is 343?"

What two numbers have a GCF of 344?
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