What two numbers have a GCF of 2106?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2106.

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 2106. Below is the beginning list of multiples of 2106 (1 through 7) in numerical order.

1. 2106
2. 4212
3. 6318
4. 8424
5. 10530
6. 12636
7. 14742
etc...

Two numbers that have a GCF of 2106 can be 2106 and any other number on the list above. Thus, two numbers that have a GCF of 2106 are:

2106 & 4212
2106 & 6318
2106 & 8424
etc...

That is not all! Any combination of any multiple of 2106 and "odd" multiples of 2106 will also have GCF of 2106. 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 2106.

4212 & 6318
4212 & 10530
8424 & 10530
8424 & 14742
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2106. 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 2106, what are the numbers?" or "What are two numbers whose GCF is 2106?"

What two numbers have a GCF of 2107?
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