What two numbers have a GCF of 1728?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1728.

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 1728. Below is the beginning list of multiples of 1728 (1 through 7) in numerical order.

1. 1728
2. 3456
3. 5184
4. 6912
5. 8640
6. 10368
7. 12096
etc...

Two numbers that have a GCF of 1728 can be 1728 and any other number on the list above. Thus, two numbers that have a GCF of 1728 are:

1728 & 3456
1728 & 5184
1728 & 6912
etc...

That is not all! Any combination of any multiple of 1728 and "odd" multiples of 1728 will also have GCF of 1728. 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 1728.

3456 & 5184
3456 & 8640
6912 & 8640
6912 & 12096
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1728. 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 1728, what are the numbers?" or "What are two numbers whose GCF is 1728?"

What two numbers have a GCF of 1729?
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