What two numbers have a GCF of 1714?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1714.

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 1714. Below is the beginning list of multiples of 1714 (1 through 7) in numerical order.

1. 1714
2. 3428
3. 5142
4. 6856
5. 8570
6. 10284
7. 11998
etc...

Two numbers that have a GCF of 1714 can be 1714 and any other number on the list above. Thus, two numbers that have a GCF of 1714 are:

1714 & 3428
1714 & 5142
1714 & 6856
etc...

That is not all! Any combination of any multiple of 1714 and "odd" multiples of 1714 will also have GCF of 1714. 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 1714.

3428 & 5142
3428 & 8570
6856 & 8570
6856 & 11998
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1714. 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 1714, what are the numbers?" or "What are two numbers whose GCF is 1714?"

What two numbers have a GCF of 1715?
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