What two numbers have a GCF of 914?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 914.

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 914. Below is the beginning list of multiples of 914 (1 through 7) in numerical order.

1. 914
2. 1828
3. 2742
4. 3656
5. 4570
6. 5484
7. 6398
etc...

Two numbers that have a GCF of 914 can be 914 and any other number on the list above. Thus, two numbers that have a GCF of 914 are:

914 & 1828
914 & 2742
914 & 3656
etc...

That is not all! Any combination of any multiple of 914 and "odd" multiples of 914 will also have GCF of 914. 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 914.

1828 & 2742
1828 & 4570
3656 & 4570
3656 & 6398
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 914. 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 914, what are the numbers?" or "What are two numbers whose GCF is 914?"

What two numbers have a GCF of 915?
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