What two numbers have a GCF of 1564?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1564.

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 1564. Below is the beginning list of multiples of 1564 (1 through 7) in numerical order.

1. 1564
2. 3128
3. 4692
4. 6256
5. 7820
6. 9384
7. 10948
etc...

Two numbers that have a GCF of 1564 can be 1564 and any other number on the list above. Thus, two numbers that have a GCF of 1564 are:

1564 & 3128
1564 & 4692
1564 & 6256
etc...

That is not all! Any combination of any multiple of 1564 and "odd" multiples of 1564 will also have GCF of 1564. 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 1564.

3128 & 4692
3128 & 7820
6256 & 7820
6256 & 10948
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1564. 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 1564, what are the numbers?" or "What are two numbers whose GCF is 1564?"

What two numbers have a GCF of 1565?
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