What two numbers have a GCF of 1722?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1722.

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 1722. Below is the beginning list of multiples of 1722 (1 through 7) in numerical order.

1. 1722
2. 3444
3. 5166
4. 6888
5. 8610
6. 10332
7. 12054
etc...

Two numbers that have a GCF of 1722 can be 1722 and any other number on the list above. Thus, two numbers that have a GCF of 1722 are:

1722 & 3444
1722 & 5166
1722 & 6888
etc...

That is not all! Any combination of any multiple of 1722 and "odd" multiples of 1722 will also have GCF of 1722. 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 1722.

3444 & 5166
3444 & 8610
6888 & 8610
6888 & 12054
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1722. 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 1722, what are the numbers?" or "What are two numbers whose GCF is 1722?"

What two numbers have a GCF of 1723?
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