What two numbers have a GCF of 2501?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2501.

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 2501. Below is the beginning list of multiples of 2501 (1 through 7) in numerical order.

1. 2501
2. 5002
3. 7503
4. 10004
5. 12505
6. 15006
7. 17507
etc...

Two numbers that have a GCF of 2501 can be 2501 and any other number on the list above. Thus, two numbers that have a GCF of 2501 are:

2501 & 5002
2501 & 7503
2501 & 10004
etc...

That is not all! Any combination of any multiple of 2501 and "odd" multiples of 2501 will also have GCF of 2501. 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 2501.

5002 & 7503
5002 & 12505
10004 & 12505
10004 & 17507
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2501. 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 2501, what are the numbers?" or "What are two numbers whose GCF is 2501?"

What two numbers have a GCF of 2502?
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