What two numbers have a GCF of 563?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 563.

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 563. Below is the beginning list of multiples of 563 (1 through 7) in numerical order.

1. 563
2. 1126
3. 1689
4. 2252
5. 2815
6. 3378
7. 3941
etc...

Two numbers that have a GCF of 563 can be 563 and any other number on the list above. Thus, two numbers that have a GCF of 563 are:

563 & 1126
563 & 1689
563 & 2252
etc...

That is not all! Any combination of any multiple of 563 and "odd" multiples of 563 will also have GCF of 563. 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 563.

1126 & 1689
1126 & 2815
2252 & 2815
2252 & 3941
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 563. 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 563, what are the numbers?" or "What are two numbers whose GCF is 563?"

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