What two numbers have a GCF of 1691?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1691.

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 1691. Below is the beginning list of multiples of 1691 (1 through 7) in numerical order.

1. 1691
2. 3382
3. 5073
4. 6764
5. 8455
6. 10146
7. 11837
etc...

Two numbers that have a GCF of 1691 can be 1691 and any other number on the list above. Thus, two numbers that have a GCF of 1691 are:

1691 & 3382
1691 & 5073
1691 & 6764
etc...

That is not all! Any combination of any multiple of 1691 and "odd" multiples of 1691 will also have GCF of 1691. 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 1691.

3382 & 5073
3382 & 8455
6764 & 8455
6764 & 11837
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1691. 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 1691, what are the numbers?" or "What are two numbers whose GCF is 1691?"

What two numbers have a GCF of 1692?
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