What two numbers have a GCF of 2824?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2824.

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 2824. Below is the beginning list of multiples of 2824 (1 through 7) in numerical order.

1. 2824
2. 5648
3. 8472
4. 11296
5. 14120
6. 16944
7. 19768
etc...

Two numbers that have a GCF of 2824 can be 2824 and any other number on the list above. Thus, two numbers that have a GCF of 2824 are:

2824 & 5648
2824 & 8472
2824 & 11296
etc...

That is not all! Any combination of any multiple of 2824 and "odd" multiples of 2824 will also have GCF of 2824. 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 2824.

5648 & 8472
5648 & 14120
11296 & 14120
11296 & 19768
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2824. 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 2824, what are the numbers?" or "What are two numbers whose GCF is 2824?"

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