What two numbers have a GCF of 7825?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 7825.

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 7825. Below is the beginning list of multiples of 7825 (1 through 7) in numerical order.

1. 7825
2. 15650
3. 23475
4. 31300
5. 39125
6. 46950
7. 54775
etc...

Two numbers that have a GCF of 7825 can be 7825 and any other number on the list above. Thus, two numbers that have a GCF of 7825 are:

7825 & 15650
7825 & 23475
7825 & 31300
etc...

That is not all! Any combination of any multiple of 7825 and "odd" multiples of 7825 will also have GCF of 7825. 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 7825.

15650 & 23475
15650 & 39125
31300 & 39125
31300 & 54775
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 7825. 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 7825, what are the numbers?" or "What are two numbers whose GCF is 7825?"

What two numbers have a GCF of 7826?
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