What two numbers have a GCF of 2564?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2564.

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 2564. Below is the beginning list of multiples of 2564 (1 through 7) in numerical order.

1. 2564
2. 5128
3. 7692
4. 10256
5. 12820
6. 15384
7. 17948
etc...

Two numbers that have a GCF of 2564 can be 2564 and any other number on the list above. Thus, two numbers that have a GCF of 2564 are:

2564 & 5128
2564 & 7692
2564 & 10256
etc...

That is not all! Any combination of any multiple of 2564 and "odd" multiples of 2564 will also have GCF of 2564. 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 2564.

5128 & 7692
5128 & 12820
10256 & 12820
10256 & 17948
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2564. 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 2564, what are the numbers?" or "What are two numbers whose GCF is 2564?"

What two numbers have a GCF of 2565?
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