What two numbers have a GCF of 300?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 300.

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 300. Below is the beginning list of multiples of 300 (1 through 7) in numerical order.

1. 300
2. 600
3. 900
4. 1200
5. 1500
6. 1800
7. 2100
etc...

Two numbers that have a GCF of 300 can be 300 and any other number on the list above. Thus, two numbers that have a GCF of 300 are:

300 & 600
300 & 900
300 & 1200
etc...

That is not all! Any combination of any multiple of 300 and "odd" multiples of 300 will also have GCF of 300. 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 300.

600 & 900
600 & 1500
1200 & 1500
1200 & 2100
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 300. 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 300, what are the numbers?" or "What are two numbers whose GCF is 300?"

What two numbers have a GCF of 301?
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