What two numbers have a GCF of 2250?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2250.

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 2250. Below is the beginning list of multiples of 2250 (1 through 7) in numerical order.

1. 2250
2. 4500
3. 6750
4. 9000
5. 11250
6. 13500
7. 15750
etc...

Two numbers that have a GCF of 2250 can be 2250 and any other number on the list above. Thus, two numbers that have a GCF of 2250 are:

2250 & 4500
2250 & 6750
2250 & 9000
etc...

That is not all! Any combination of any multiple of 2250 and "odd" multiples of 2250 will also have GCF of 2250. 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 2250.

4500 & 6750
4500 & 11250
9000 & 11250
9000 & 15750
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2250. 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 2250, what are the numbers?" or "What are two numbers whose GCF is 2250?"

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