What two numbers have a GCF of 564?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 564.

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 564. Below is the beginning list of multiples of 564 (1 through 7) in numerical order.

1. 564
2. 1128
3. 1692
4. 2256
5. 2820
6. 3384
7. 3948
etc...

Two numbers that have a GCF of 564 can be 564 and any other number on the list above. Thus, two numbers that have a GCF of 564 are:

564 & 1128
564 & 1692
564 & 2256
etc...

That is not all! Any combination of any multiple of 564 and "odd" multiples of 564 will also have GCF of 564. 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 564.

1128 & 1692
1128 & 2820
2256 & 2820
2256 & 3948
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 564. 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 564, what are the numbers?" or "What are two numbers whose GCF is 564?"

What two numbers have a GCF of 565?
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