What two numbers have a GCF of 6724?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 6724.

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 6724. Below is the beginning list of multiples of 6724 (1 through 7) in numerical order.

1. 6724
2. 13448
3. 20172
4. 26896
5. 33620
6. 40344
7. 47068
etc...

Two numbers that have a GCF of 6724 can be 6724 and any other number on the list above. Thus, two numbers that have a GCF of 6724 are:

6724 & 13448
6724 & 20172
6724 & 26896
etc...

That is not all! Any combination of any multiple of 6724 and "odd" multiples of 6724 will also have GCF of 6724. 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 6724.

13448 & 20172
13448 & 33620
26896 & 33620
26896 & 47068
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 6724. 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 6724, what are the numbers?" or "What are two numbers whose GCF is 6724?"

What two numbers have a GCF of 6725?
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