What two numbers have a GCF of 214?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 214.

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 214. Below is the beginning list of multiples of 214 (1 through 7) in numerical order.

1. 214
2. 428
3. 642
4. 856
5. 1070
6. 1284
7. 1498
etc...

Two numbers that have a GCF of 214 can be 214 and any other number on the list above. Thus, two numbers that have a GCF of 214 are:

214 & 428
214 & 642
214 & 856
etc...

That is not all! Any combination of any multiple of 214 and "odd" multiples of 214 will also have GCF of 214. 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 214.

428 & 642
428 & 1070
856 & 1070
856 & 1498
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 214. 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 214, what are the numbers?" or "What are two numbers whose GCF is 214?"

What two numbers have a GCF of 215?
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