What two numbers have a GCF of 1907?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1907.

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 1907. Below is the beginning list of multiples of 1907 (1 through 7) in numerical order.

1. 1907
2. 3814
3. 5721
4. 7628
5. 9535
6. 11442
7. 13349
etc...

Two numbers that have a GCF of 1907 can be 1907 and any other number on the list above. Thus, two numbers that have a GCF of 1907 are:

1907 & 3814
1907 & 5721
1907 & 7628
etc...

That is not all! Any combination of any multiple of 1907 and "odd" multiples of 1907 will also have GCF of 1907. 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 1907.

3814 & 5721
3814 & 9535
7628 & 9535
7628 & 13349
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1907. 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 1907, what are the numbers?" or "What are two numbers whose GCF is 1907?"

What two numbers have a GCF of 1908?
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