What two numbers have a GCF of 1745?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1745.

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 1745. Below is the beginning list of multiples of 1745 (1 through 7) in numerical order.

1. 1745
2. 3490
3. 5235
4. 6980
5. 8725
6. 10470
7. 12215
etc...

Two numbers that have a GCF of 1745 can be 1745 and any other number on the list above. Thus, two numbers that have a GCF of 1745 are:

1745 & 3490
1745 & 5235
1745 & 6980
etc...

That is not all! Any combination of any multiple of 1745 and "odd" multiples of 1745 will also have GCF of 1745. 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 1745.

3490 & 5235
3490 & 8725
6980 & 8725
6980 & 12215
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1745. 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 1745, what are the numbers?" or "What are two numbers whose GCF is 1745?"

What two numbers have a GCF of 1746?
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