What two numbers have a GCF of 1917?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1917.

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 1917. Below is the beginning list of multiples of 1917 (1 through 7) in numerical order.

1. 1917
2. 3834
3. 5751
4. 7668
5. 9585
6. 11502
7. 13419
etc...

Two numbers that have a GCF of 1917 can be 1917 and any other number on the list above. Thus, two numbers that have a GCF of 1917 are:

1917 & 3834
1917 & 5751
1917 & 7668
etc...

That is not all! Any combination of any multiple of 1917 and "odd" multiples of 1917 will also have GCF of 1917. 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 1917.

3834 & 5751
3834 & 9585
7668 & 9585
7668 & 13419
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1917. 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 1917, what are the numbers?" or "What are two numbers whose GCF is 1917?"

What two numbers have a GCF of 1918?
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