What two numbers have a GCF of 123?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 123.

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 123. Below is the beginning list of multiples of 123 (1 through 7) in numerical order.

1. 123
2. 246
3. 369
4. 492
5. 615
6. 738
7. 861
etc...

Two numbers that have a GCF of 123 can be 123 and any other number on the list above. Thus, two numbers that have a GCF of 123 are:

123 & 246
123 & 369
123 & 492
etc...

That is not all! Any combination of any multiple of 123 and "odd" multiples of 123 will also have GCF of 123. 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 123.

246 & 369
246 & 615
492 & 615
492 & 861
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 123. 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 123, what are the numbers?" or "What are two numbers whose GCF is 123?"

What two numbers have a GCF of 124?
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