What two numbers have a GCF of 2100?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2100.

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 2100. Below is the beginning list of multiples of 2100 (1 through 7) in numerical order.

1. 2100
2. 4200
3. 6300
4. 8400
5. 10500
6. 12600
7. 14700
etc...

Two numbers that have a GCF of 2100 can be 2100 and any other number on the list above. Thus, two numbers that have a GCF of 2100 are:

2100 & 4200
2100 & 6300
2100 & 8400
etc...

That is not all! Any combination of any multiple of 2100 and "odd" multiples of 2100 will also have GCF of 2100. 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 2100.

4200 & 6300
4200 & 10500
8400 & 10500
8400 & 14700
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2100. The lists we created can go on forever.

Two numbers have a GCF of Calculator
Need the answer to a similar problem? Enter your GCF below to find the two numbers with that GCF.

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 2100, what are the numbers?" or "What are two numbers whose GCF is 2100?"

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