What two numbers have a GCF of 827?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 827.

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 827. Below is the beginning list of multiples of 827 (1 through 7) in numerical order.

1. 827
2. 1654
3. 2481
4. 3308
5. 4135
6. 4962
7. 5789
etc...

Two numbers that have a GCF of 827 can be 827 and any other number on the list above. Thus, two numbers that have a GCF of 827 are:

827 & 1654
827 & 2481
827 & 3308
etc...

That is not all! Any combination of any multiple of 827 and "odd" multiples of 827 will also have GCF of 827. 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 827.

1654 & 2481
1654 & 4135
3308 & 4135
3308 & 5789
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 827. 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 827, what are the numbers?" or "What are two numbers whose GCF is 827?"

What two numbers have a GCF of 828?
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