What two numbers have a GCF of 106?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 106.

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 106. Below is the beginning list of multiples of 106 (1 through 7) in numerical order.

1. 106
2. 212
3. 318
4. 424
5. 530
6. 636
7. 742
etc...

Two numbers that have a GCF of 106 can be 106 and any other number on the list above. Thus, two numbers that have a GCF of 106 are:

106 & 212
106 & 318
106 & 424
etc...

That is not all! Any combination of any multiple of 106 and "odd" multiples of 106 will also have GCF of 106. 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 106.

212 & 318
212 & 530
424 & 530
424 & 742
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 106. 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 106, what are the numbers?" or "What are two numbers whose GCF is 106?"

What two numbers have a GCF of 107?
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