What two numbers have a GCF of 2821?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2821.

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 2821. Below is the beginning list of multiples of 2821 (1 through 7) in numerical order.

1. 2821
2. 5642
3. 8463
4. 11284
5. 14105
6. 16926
7. 19747
etc...

Two numbers that have a GCF of 2821 can be 2821 and any other number on the list above. Thus, two numbers that have a GCF of 2821 are:

2821 & 5642
2821 & 8463
2821 & 11284
etc...

That is not all! Any combination of any multiple of 2821 and "odd" multiples of 2821 will also have GCF of 2821. 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 2821.

5642 & 8463
5642 & 14105
11284 & 14105
11284 & 19747
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2821. 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 2821, what are the numbers?" or "What are two numbers whose GCF is 2821?"

What two numbers have a GCF of 2822?
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