What two numbers have a GCF of 1634?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1634.

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 1634. Below is the beginning list of multiples of 1634 (1 through 7) in numerical order.

1. 1634
2. 3268
3. 4902
4. 6536
5. 8170
6. 9804
7. 11438
etc...

Two numbers that have a GCF of 1634 can be 1634 and any other number on the list above. Thus, two numbers that have a GCF of 1634 are:

1634 & 3268
1634 & 4902
1634 & 6536
etc...

That is not all! Any combination of any multiple of 1634 and "odd" multiples of 1634 will also have GCF of 1634. 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 1634.

3268 & 4902
3268 & 8170
6536 & 8170
6536 & 11438
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1634. 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 1634, what are the numbers?" or "What are two numbers whose GCF is 1634?"

What two numbers have a GCF of 1635?
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