What two numbers have a GCF of 228?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 228.

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 228. Below is the beginning list of multiples of 228 (1 through 7) in numerical order.

1. 228
2. 456
3. 684
4. 912
5. 1140
6. 1368
7. 1596
etc...

Two numbers that have a GCF of 228 can be 228 and any other number on the list above. Thus, two numbers that have a GCF of 228 are:

228 & 456
228 & 684
228 & 912
etc...

That is not all! Any combination of any multiple of 228 and "odd" multiples of 228 will also have GCF of 228. 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 228.

456 & 684
456 & 1140
912 & 1140
912 & 1596
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 228. 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 228, what are the numbers?" or "What are two numbers whose GCF is 228?"

What two numbers have a GCF of 229?
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