What two numbers have a GCF of 1825?




Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1825.

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 1825. Below is the beginning list of multiples of 1825 (1 through 7) in numerical order.

1. 1825
2. 3650
3. 5475
4. 7300
5. 9125
6. 10950
7. 12775
etc...

Two numbers that have a GCF of 1825 can be 1825 and any other number on the list above. Thus, two numbers that have a GCF of 1825 are:

1825 & 3650
1825 & 5475
1825 & 7300
etc...


That is not all! Any combination of any multiple of 1825 and "odd" multiples of 1825 will also have GCF of 1825. 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 1825.

3650 & 5475
3650 & 9125
7300 & 9125
7300 & 12775
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1825. 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 1825, what are the numbers?" or "What are two numbers whose GCF is 1825?"

What two numbers have a GCF of 1826?
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