What two numbers have a GCF of 871?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 871.

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 871. Below is the beginning list of multiples of 871 (1 through 7) in numerical order.

1. 871
2. 1742
3. 2613
4. 3484
5. 4355
6. 5226
7. 6097
etc...

Two numbers that have a GCF of 871 can be 871 and any other number on the list above. Thus, two numbers that have a GCF of 871 are:

871 & 1742
871 & 2613
871 & 3484
etc...

That is not all! Any combination of any multiple of 871 and "odd" multiples of 871 will also have GCF of 871. 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 871.

1742 & 2613
1742 & 4355
3484 & 4355
3484 & 6097
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 871. 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 871, what are the numbers?" or "What are two numbers whose GCF is 871?"

What two numbers have a GCF of 872?
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