What two numbers have a GCF of 250?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 250.

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 250. Below is the beginning list of multiples of 250 (1 through 7) in numerical order.

1. 250
2. 500
3. 750
4. 1000
5. 1250
6. 1500
7. 1750
etc...

Two numbers that have a GCF of 250 can be 250 and any other number on the list above. Thus, two numbers that have a GCF of 250 are:

250 & 500
250 & 750
250 & 1000
etc...

That is not all! Any combination of any multiple of 250 and "odd" multiples of 250 will also have GCF of 250. 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 250.

500 & 750
500 & 1250
1000 & 1250
1000 & 1750
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 250. 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 250, what are the numbers?" or "What are two numbers whose GCF is 250?"

What two numbers have a GCF of 251?
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