What two numbers have a GCF of 1000?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1000.

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 1000. Below is the beginning list of multiples of 1000 (1 through 7) in numerical order.

1. 1000
2. 2000
3. 3000
4. 4000
5. 5000
6. 6000
7. 7000
etc...

Two numbers that have a GCF of 1000 can be 1000 and any other number on the list above. Thus, two numbers that have a GCF of 1000 are:

1000 & 2000
1000 & 3000
1000 & 4000
etc...

That is not all! Any combination of any multiple of 1000 and "odd" multiples of 1000 will also have GCF of 1000. 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 1000.

2000 & 3000
2000 & 5000
4000 & 5000
4000 & 7000
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1000. 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 1000, what are the numbers?" or "What are two numbers whose GCF is 1000?"

What two numbers have a GCF of 1001?
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