What two numbers have a GCF of 2123?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2123.

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 2123. Below is the beginning list of multiples of 2123 (1 through 7) in numerical order.

1. 2123
2. 4246
3. 6369
4. 8492
5. 10615
6. 12738
7. 14861
etc...

Two numbers that have a GCF of 2123 can be 2123 and any other number on the list above. Thus, two numbers that have a GCF of 2123 are:

2123 & 4246
2123 & 6369
2123 & 8492
etc...

That is not all! Any combination of any multiple of 2123 and "odd" multiples of 2123 will also have GCF of 2123. 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 2123.

4246 & 6369
4246 & 10615
8492 & 10615
8492 & 14861
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2123. 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 2123, what are the numbers?" or "What are two numbers whose GCF is 2123?"

What two numbers have a GCF of 2124?
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