What two numbers have a GCF of 585?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 585.

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 585. Below is the beginning list of multiples of 585 (1 through 7) in numerical order.

1. 585
2. 1170
3. 1755
4. 2340
5. 2925
6. 3510
7. 4095
etc...

Two numbers that have a GCF of 585 can be 585 and any other number on the list above. Thus, two numbers that have a GCF of 585 are:

585 & 1170
585 & 1755
585 & 2340
etc...

That is not all! Any combination of any multiple of 585 and "odd" multiples of 585 will also have GCF of 585. 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 585.

1170 & 1755
1170 & 2925
2340 & 2925
2340 & 4095
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 585. 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 585, what are the numbers?" or "What are two numbers whose GCF is 585?"

What two numbers have a GCF of 586?
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