What two numbers have a GCF of 1747?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1747.

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 1747. Below is the beginning list of multiples of 1747 (1 through 7) in numerical order.

1. 1747
2. 3494
3. 5241
4. 6988
5. 8735
6. 10482
7. 12229
etc...

Two numbers that have a GCF of 1747 can be 1747 and any other number on the list above. Thus, two numbers that have a GCF of 1747 are:

1747 & 3494
1747 & 5241
1747 & 6988
etc...

That is not all! Any combination of any multiple of 1747 and "odd" multiples of 1747 will also have GCF of 1747. 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 1747.

3494 & 5241
3494 & 8735
6988 & 8735
6988 & 12229
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1747. 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 1747, what are the numbers?" or "What are two numbers whose GCF is 1747?"

What two numbers have a GCF of 1748?
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