What two numbers have a GCF of 1500?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1500.

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 1500. Below is the beginning list of multiples of 1500 (1 through 7) in numerical order.

1. 1500
2. 3000
3. 4500
4. 6000
5. 7500
6. 9000
7. 10500
etc...

Two numbers that have a GCF of 1500 can be 1500 and any other number on the list above. Thus, two numbers that have a GCF of 1500 are:

1500 & 3000
1500 & 4500
1500 & 6000
etc...

That is not all! Any combination of any multiple of 1500 and "odd" multiples of 1500 will also have GCF of 1500. 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 1500.

3000 & 4500
3000 & 7500
6000 & 7500
6000 & 10500
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1500. 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 1500, what are the numbers?" or "What are two numbers whose GCF is 1500?"

What two numbers have a GCF of 1501?
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