What two numbers have a GCF of 344?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 344.

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 344. Below is the beginning list of multiples of 344 (1 through 7) in numerical order.

1. 344
2. 688
3. 1032
4. 1376
5. 1720
6. 2064
7. 2408
etc...

Two numbers that have a GCF of 344 can be 344 and any other number on the list above. Thus, two numbers that have a GCF of 344 are:

344 & 688
344 & 1032
344 & 1376
etc...

That is not all! Any combination of any multiple of 344 and "odd" multiples of 344 will also have GCF of 344. 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 344.

688 & 1032
688 & 1720
1376 & 1720
1376 & 2408
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 344. 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 344, what are the numbers?" or "What are two numbers whose GCF is 344?"

What two numbers have a GCF of 345?
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