What two numbers have a GCF of 231?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 231.

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 231. Below is the beginning list of multiples of 231 (1 through 7) in numerical order.

1. 231
2. 462
3. 693
4. 924
5. 1155
6. 1386
7. 1617
etc...

Two numbers that have a GCF of 231 can be 231 and any other number on the list above. Thus, two numbers that have a GCF of 231 are:

231 & 462
231 & 693
231 & 924
etc...

That is not all! Any combination of any multiple of 231 and "odd" multiples of 231 will also have GCF of 231. 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 231.

462 & 693
462 & 1155
924 & 1155
924 & 1617
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 231. 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 231, what are the numbers?" or "What are two numbers whose GCF is 231?"

What two numbers have a GCF of 232?
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