What two numbers have a GCF of 1721?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1721.

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 1721. Below is the beginning list of multiples of 1721 (1 through 7) in numerical order.

1. 1721
2. 3442
3. 5163
4. 6884
5. 8605
6. 10326
7. 12047
etc...

Two numbers that have a GCF of 1721 can be 1721 and any other number on the list above. Thus, two numbers that have a GCF of 1721 are:

1721 & 3442
1721 & 5163
1721 & 6884
etc...

That is not all! Any combination of any multiple of 1721 and "odd" multiples of 1721 will also have GCF of 1721. 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 1721.

3442 & 5163
3442 & 8605
6884 & 8605
6884 & 12047
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1721. 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 1721, what are the numbers?" or "What are two numbers whose GCF is 1721?"

What two numbers have a GCF of 1722?
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