What two numbers have a GCF of 1908?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1908.

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 1908. Below is the beginning list of multiples of 1908 (1 through 7) in numerical order.

1. 1908
2. 3816
3. 5724
4. 7632
5. 9540
6. 11448
7. 13356
etc...

Two numbers that have a GCF of 1908 can be 1908 and any other number on the list above. Thus, two numbers that have a GCF of 1908 are:

1908 & 3816
1908 & 5724
1908 & 7632
etc...

That is not all! Any combination of any multiple of 1908 and "odd" multiples of 1908 will also have GCF of 1908. 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 1908.

3816 & 5724
3816 & 9540
7632 & 9540
7632 & 13356
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1908. 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 1908, what are the numbers?" or "What are two numbers whose GCF is 1908?"

What two numbers have a GCF of 1909?
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