What two numbers have a GCF of 872?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 872.

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 872. Below is the beginning list of multiples of 872 (1 through 7) in numerical order.

1. 872
2. 1744
3. 2616
4. 3488
5. 4360
6. 5232
7. 6104
etc...

Two numbers that have a GCF of 872 can be 872 and any other number on the list above. Thus, two numbers that have a GCF of 872 are:

872 & 1744
872 & 2616
872 & 3488
etc...

That is not all! Any combination of any multiple of 872 and "odd" multiples of 872 will also have GCF of 872. 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 872.

1744 & 2616
1744 & 4360
3488 & 4360
3488 & 6104
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 872. 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 872, what are the numbers?" or "What are two numbers whose GCF is 872?"

What two numbers have a GCF of 873?
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