What two numbers have a GCF of 2508?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2508.

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 2508. Below is the beginning list of multiples of 2508 (1 through 7) in numerical order.

1. 2508
2. 5016
3. 7524
4. 10032
5. 12540
6. 15048
7. 17556
etc...

Two numbers that have a GCF of 2508 can be 2508 and any other number on the list above. Thus, two numbers that have a GCF of 2508 are:

2508 & 5016
2508 & 7524
2508 & 10032
etc...

That is not all! Any combination of any multiple of 2508 and "odd" multiples of 2508 will also have GCF of 2508. 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 2508.

5016 & 7524
5016 & 12540
10032 & 12540
10032 & 17556
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2508. 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 2508, what are the numbers?" or "What are two numbers whose GCF is 2508?"

What two numbers have a GCF of 2509?
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