What two numbers have a GCF of 1743?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1743.

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 1743. Below is the beginning list of multiples of 1743 (1 through 7) in numerical order.

1. 1743
2. 3486
3. 5229
4. 6972
5. 8715
6. 10458
7. 12201
etc...

Two numbers that have a GCF of 1743 can be 1743 and any other number on the list above. Thus, two numbers that have a GCF of 1743 are:

1743 & 3486
1743 & 5229
1743 & 6972
etc...

That is not all! Any combination of any multiple of 1743 and "odd" multiples of 1743 will also have GCF of 1743. 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 1743.

3486 & 5229
3486 & 8715
6972 & 8715
6972 & 12201
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1743. 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 1743, what are the numbers?" or "What are two numbers whose GCF is 1743?"

What two numbers have a GCF of 1744?
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