What two numbers have a GCF of 834?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 834.

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 834. Below is the beginning list of multiples of 834 (1 through 7) in numerical order.

1. 834
2. 1668
3. 2502
4. 3336
5. 4170
6. 5004
7. 5838
etc...

Two numbers that have a GCF of 834 can be 834 and any other number on the list above. Thus, two numbers that have a GCF of 834 are:

834 & 1668
834 & 2502
834 & 3336
etc...

That is not all! Any combination of any multiple of 834 and "odd" multiples of 834 will also have GCF of 834. 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 834.

1668 & 2502
1668 & 4170
3336 & 4170
3336 & 5838
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 834. 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 834, what are the numbers?" or "What are two numbers whose GCF is 834?"

What two numbers have a GCF of 835?
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