What two numbers have a GCF of 234?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 234.

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 234. Below is the beginning list of multiples of 234 (1 through 7) in numerical order.

1. 234
2. 468
3. 702
4. 936
5. 1170
6. 1404
7. 1638
etc...

Two numbers that have a GCF of 234 can be 234 and any other number on the list above. Thus, two numbers that have a GCF of 234 are:

234 & 468
234 & 702
234 & 936
etc...

That is not all! Any combination of any multiple of 234 and "odd" multiples of 234 will also have GCF of 234. 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 234.

468 & 702
468 & 1170
936 & 1170
936 & 1638
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 234. 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 234, what are the numbers?" or "What are two numbers whose GCF is 234?"

What two numbers have a GCF of 235?
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