What two numbers have a GCF of 2268?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2268.

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 2268. Below is the beginning list of multiples of 2268 (1 through 7) in numerical order.

1. 2268
2. 4536
3. 6804
4. 9072
5. 11340
6. 13608
7. 15876
etc...

Two numbers that have a GCF of 2268 can be 2268 and any other number on the list above. Thus, two numbers that have a GCF of 2268 are:

2268 & 4536
2268 & 6804
2268 & 9072
etc...

That is not all! Any combination of any multiple of 2268 and "odd" multiples of 2268 will also have GCF of 2268. 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 2268.

4536 & 6804
4536 & 11340
9072 & 11340
9072 & 15876
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2268. 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 2268, what are the numbers?" or "What are two numbers whose GCF is 2268?"

What two numbers have a GCF of 2269?
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