What two numbers have a GCF of 72?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 72.

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 72. Below is the beginning list of multiples of 72 (1 through 7) in numerical order.

1. 72
2. 144
3. 216
4. 288
5. 360
6. 432
7. 504
etc...

Two numbers that have a GCF of 72 can be 72 and any other number on the list above. Thus, two numbers that have a GCF of 72 are:

72 & 144
72 & 216
72 & 288
etc...

That is not all! Any combination of any multiple of 72 and "odd" multiples of 72 will also have GCF of 72. 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 72.

144 & 216
144 & 360
288 & 360
288 & 504
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 72. 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 72, what are the numbers?" or "What are two numbers whose GCF is 72?"

What two numbers have a GCF of 73?
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