What two numbers have a GCF of 208?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 208.

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 208. Below is the beginning list of multiples of 208 (1 through 7) in numerical order.

1. 208
2. 416
3. 624
4. 832
5. 1040
6. 1248
7. 1456
etc...

Two numbers that have a GCF of 208 can be 208 and any other number on the list above. Thus, two numbers that have a GCF of 208 are:

208 & 416
208 & 624
208 & 832
etc...

That is not all! Any combination of any multiple of 208 and "odd" multiples of 208 will also have GCF of 208. 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 208.

416 & 624
416 & 1040
832 & 1040
832 & 1456
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 208. 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 208, what are the numbers?" or "What are two numbers whose GCF is 208?"

What two numbers have a GCF of 209?
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