What two numbers have a GCF of 2107?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2107.

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 2107. Below is the beginning list of multiples of 2107 (1 through 7) in numerical order.

1. 2107
2. 4214
3. 6321
4. 8428
5. 10535
6. 12642
7. 14749
etc...

Two numbers that have a GCF of 2107 can be 2107 and any other number on the list above. Thus, two numbers that have a GCF of 2107 are:

2107 & 4214
2107 & 6321
2107 & 8428
etc...

That is not all! Any combination of any multiple of 2107 and "odd" multiples of 2107 will also have GCF of 2107. 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 2107.

4214 & 6321
4214 & 10535
8428 & 10535
8428 & 14749
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2107. 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 2107, what are the numbers?" or "What are two numbers whose GCF is 2107?"

What two numbers have a GCF of 2108?
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