What two numbers have a GCF of 824?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 824.

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 824. Below is the beginning list of multiples of 824 (1 through 7) in numerical order.

1. 824
2. 1648
3. 2472
4. 3296
5. 4120
6. 4944
7. 5768
etc...

Two numbers that have a GCF of 824 can be 824 and any other number on the list above. Thus, two numbers that have a GCF of 824 are:

824 & 1648
824 & 2472
824 & 3296
etc...

That is not all! Any combination of any multiple of 824 and "odd" multiples of 824 will also have GCF of 824. 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 824.

1648 & 2472
1648 & 4120
3296 & 4120
3296 & 5768
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 824. 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 824, what are the numbers?" or "What are two numbers whose GCF is 824?"

What two numbers have a GCF of 825?
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