What two numbers have a GCF of 1729?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1729.

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 1729. Below is the beginning list of multiples of 1729 (1 through 7) in numerical order.

1. 1729
2. 3458
3. 5187
4. 6916
5. 8645
6. 10374
7. 12103
etc...

Two numbers that have a GCF of 1729 can be 1729 and any other number on the list above. Thus, two numbers that have a GCF of 1729 are:

1729 & 3458
1729 & 5187
1729 & 6916
etc...

That is not all! Any combination of any multiple of 1729 and "odd" multiples of 1729 will also have GCF of 1729. 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 1729.

3458 & 5187
3458 & 8645
6916 & 8645
6916 & 12103
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1729. 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 1729, what are the numbers?" or "What are two numbers whose GCF is 1729?"

What two numbers have a GCF of 1730?
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