What two numbers have a GCF of 1710?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1710.

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 1710. Below is the beginning list of multiples of 1710 (1 through 7) in numerical order.

1. 1710
2. 3420
3. 5130
4. 6840
5. 8550
6. 10260
7. 11970
etc...

Two numbers that have a GCF of 1710 can be 1710 and any other number on the list above. Thus, two numbers that have a GCF of 1710 are:

1710 & 3420
1710 & 5130
1710 & 6840
etc...

That is not all! Any combination of any multiple of 1710 and "odd" multiples of 1710 will also have GCF of 1710. 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 1710.

3420 & 5130
3420 & 8550
6840 & 8550
6840 & 11970
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1710. 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 1710, what are the numbers?" or "What are two numbers whose GCF is 1710?"

What two numbers have a GCF of 1711?
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