What two numbers have a GCF of 1705?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1705.

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 1705. Below is the beginning list of multiples of 1705 (1 through 7) in numerical order.

1. 1705
2. 3410
3. 5115
4. 6820
5. 8525
6. 10230
7. 11935
etc...

Two numbers that have a GCF of 1705 can be 1705 and any other number on the list above. Thus, two numbers that have a GCF of 1705 are:

1705 & 3410
1705 & 5115
1705 & 6820
etc...

That is not all! Any combination of any multiple of 1705 and "odd" multiples of 1705 will also have GCF of 1705. 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 1705.

3410 & 5115
3410 & 8525
6820 & 8525
6820 & 11935
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1705. 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 1705, what are the numbers?" or "What are two numbers whose GCF is 1705?"

What two numbers have a GCF of 1706?
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