What two numbers have a GCF of 1919?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1919.

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 1919. Below is the beginning list of multiples of 1919 (1 through 7) in numerical order.

1. 1919
2. 3838
3. 5757
4. 7676
5. 9595
6. 11514
7. 13433
etc...

Two numbers that have a GCF of 1919 can be 1919 and any other number on the list above. Thus, two numbers that have a GCF of 1919 are:

1919 & 3838
1919 & 5757
1919 & 7676
etc...

That is not all! Any combination of any multiple of 1919 and "odd" multiples of 1919 will also have GCF of 1919. 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 1919.

3838 & 5757
3838 & 9595
7676 & 9595
7676 & 13433
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1919. 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 1919, what are the numbers?" or "What are two numbers whose GCF is 1919?"

What two numbers have a GCF of 1920?
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