What two numbers have a GCF of 1713?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1713.

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 1713. Below is the beginning list of multiples of 1713 (1 through 7) in numerical order.

1. 1713
2. 3426
3. 5139
4. 6852
5. 8565
6. 10278
7. 11991
etc...

Two numbers that have a GCF of 1713 can be 1713 and any other number on the list above. Thus, two numbers that have a GCF of 1713 are:

1713 & 3426
1713 & 5139
1713 & 6852
etc...

That is not all! Any combination of any multiple of 1713 and "odd" multiples of 1713 will also have GCF of 1713. 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 1713.

3426 & 5139
3426 & 8565
6852 & 8565
6852 & 11991
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1713. 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 1713, what are the numbers?" or "What are two numbers whose GCF is 1713?"

What two numbers have a GCF of 1714?
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