What two numbers have a GCF of 728?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 728.

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 728. Below is the beginning list of multiples of 728 (1 through 7) in numerical order.

1. 728
2. 1456
3. 2184
4. 2912
5. 3640
6. 4368
7. 5096
etc...

Two numbers that have a GCF of 728 can be 728 and any other number on the list above. Thus, two numbers that have a GCF of 728 are:

728 & 1456
728 & 2184
728 & 2912
etc...

That is not all! Any combination of any multiple of 728 and "odd" multiples of 728 will also have GCF of 728. 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 728.

1456 & 2184
1456 & 3640
2912 & 3640
2912 & 5096
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 728. 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 728, what are the numbers?" or "What are two numbers whose GCF is 728?"

What two numbers have a GCF of 729?
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