What two numbers have a GCF of 210?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 210.

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 210. Below is the beginning list of multiples of 210 (1 through 7) in numerical order.

1. 210
2. 420
3. 630
4. 840
5. 1050
6. 1260
7. 1470
etc...

Two numbers that have a GCF of 210 can be 210 and any other number on the list above. Thus, two numbers that have a GCF of 210 are:

210 & 420
210 & 630
210 & 840
etc...

That is not all! Any combination of any multiple of 210 and "odd" multiples of 210 will also have GCF of 210. 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 210.

420 & 630
420 & 1050
840 & 1050
840 & 1470
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 210. 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 210, what are the numbers?" or "What are two numbers whose GCF is 210?"

What two numbers have a GCF of 211?
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