What two numbers have a GCF of 229?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 229.

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 229. Below is the beginning list of multiples of 229 (1 through 7) in numerical order.

1. 229
2. 458
3. 687
4. 916
5. 1145
6. 1374
7. 1603
etc...

Two numbers that have a GCF of 229 can be 229 and any other number on the list above. Thus, two numbers that have a GCF of 229 are:

229 & 458
229 & 687
229 & 916
etc...

That is not all! Any combination of any multiple of 229 and "odd" multiples of 229 will also have GCF of 229. 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 229.

458 & 687
458 & 1145
916 & 1145
916 & 1603
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 229. 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 229, what are the numbers?" or "What are two numbers whose GCF is 229?"

What two numbers have a GCF of 230?
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