What two numbers have a GCF of 172?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 172.

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 172. Below is the beginning list of multiples of 172 (1 through 7) in numerical order.

1. 172
2. 344
3. 516
4. 688
5. 860
6. 1032
7. 1204
etc...

Two numbers that have a GCF of 172 can be 172 and any other number on the list above. Thus, two numbers that have a GCF of 172 are:

172 & 344
172 & 516
172 & 688
etc...

That is not all! Any combination of any multiple of 172 and "odd" multiples of 172 will also have GCF of 172. 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 172.

344 & 516
344 & 860
688 & 860
688 & 1204
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 172. 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 172, what are the numbers?" or "What are two numbers whose GCF is 172?"

What two numbers have a GCF of 173?
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