What two numbers have a GCF of 1696?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1696.

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 1696. Below is the beginning list of multiples of 1696 (1 through 7) in numerical order.

1. 1696
2. 3392
3. 5088
4. 6784
5. 8480
6. 10176
7. 11872
etc...

Two numbers that have a GCF of 1696 can be 1696 and any other number on the list above. Thus, two numbers that have a GCF of 1696 are:

1696 & 3392
1696 & 5088
1696 & 6784
etc...

That is not all! Any combination of any multiple of 1696 and "odd" multiples of 1696 will also have GCF of 1696. 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 1696.

3392 & 5088
3392 & 8480
6784 & 8480
6784 & 11872
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1696. 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 1696, what are the numbers?" or "What are two numbers whose GCF is 1696?"

What two numbers have a GCF of 1697?
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