What two numbers have a GCF of 823?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 823.

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 823. Below is the beginning list of multiples of 823 (1 through 7) in numerical order.

1. 823
2. 1646
3. 2469
4. 3292
5. 4115
6. 4938
7. 5761
etc...

Two numbers that have a GCF of 823 can be 823 and any other number on the list above. Thus, two numbers that have a GCF of 823 are:

823 & 1646
823 & 2469
823 & 3292
etc...

That is not all! Any combination of any multiple of 823 and "odd" multiples of 823 will also have GCF of 823. 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 823.

1646 & 2469
1646 & 4115
3292 & 4115
3292 & 5761
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 823. 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 823, what are the numbers?" or "What are two numbers whose GCF is 823?"

What two numbers have a GCF of 824?
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