What two numbers have a GCF of 108?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 108.

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 108. Below is the beginning list of multiples of 108 (1 through 7) in numerical order.

1. 108
2. 216
3. 324
4. 432
5. 540
6. 648
7. 756
etc...

Two numbers that have a GCF of 108 can be 108 and any other number on the list above. Thus, two numbers that have a GCF of 108 are:

108 & 216
108 & 324
108 & 432
etc...

That is not all! Any combination of any multiple of 108 and "odd" multiples of 108 will also have GCF of 108. 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 108.

216 & 324
216 & 540
432 & 540
432 & 756
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 108. 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 108, what are the numbers?" or "What are two numbers whose GCF is 108?"

What two numbers have a GCF of 109?
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