What two numbers have a GCF of 1200?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1200.

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 1200. Below is the beginning list of multiples of 1200 (1 through 7) in numerical order.

1. 1200
2. 2400
3. 3600
4. 4800
5. 6000
6. 7200
7. 8400
etc...

Two numbers that have a GCF of 1200 can be 1200 and any other number on the list above. Thus, two numbers that have a GCF of 1200 are:

1200 & 2400
1200 & 3600
1200 & 4800
etc...

That is not all! Any combination of any multiple of 1200 and "odd" multiples of 1200 will also have GCF of 1200. 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 1200.

2400 & 3600
2400 & 6000
4800 & 6000
4800 & 8400
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1200. 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 1200, what are the numbers?" or "What are two numbers whose GCF is 1200?"

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