What two numbers have a GCF of 822?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 822.

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 822. Below is the beginning list of multiples of 822 (1 through 7) in numerical order.

1. 822
2. 1644
3. 2466
4. 3288
5. 4110
6. 4932
7. 5754
etc...

Two numbers that have a GCF of 822 can be 822 and any other number on the list above. Thus, two numbers that have a GCF of 822 are:

822 & 1644
822 & 2466
822 & 3288
etc...

That is not all! Any combination of any multiple of 822 and "odd" multiples of 822 will also have GCF of 822. 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 822.

1644 & 2466
1644 & 4110
3288 & 4110
3288 & 5754
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 822. 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 822, what are the numbers?" or "What are two numbers whose GCF is 822?"

What two numbers have a GCF of 823?
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