What two numbers have a GCF of 200?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 200.

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 200. Below is the beginning list of multiples of 200 (1 through 7) in numerical order.

1. 200
2. 400
3. 600
4. 800
5. 1000
6. 1200
7. 1400
etc...

Two numbers that have a GCF of 200 can be 200 and any other number on the list above. Thus, two numbers that have a GCF of 200 are:

200 & 400
200 & 600
200 & 800
etc...

That is not all! Any combination of any multiple of 200 and "odd" multiples of 200 will also have GCF of 200. 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 200.

400 & 600
400 & 1000
800 & 1000
800 & 1400
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 200. 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 200, what are the numbers?" or "What are two numbers whose GCF is 200?"

What two numbers have a GCF of 201?
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