What two numbers have a GCF of 1744?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1744.

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 1744. Below is the beginning list of multiples of 1744 (1 through 7) in numerical order.

1. 1744
2. 3488
3. 5232
4. 6976
5. 8720
6. 10464
7. 12208
etc...

Two numbers that have a GCF of 1744 can be 1744 and any other number on the list above. Thus, two numbers that have a GCF of 1744 are:

1744 & 3488
1744 & 5232
1744 & 6976
etc...

That is not all! Any combination of any multiple of 1744 and "odd" multiples of 1744 will also have GCF of 1744. 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 1744.

3488 & 5232
3488 & 8720
6976 & 8720
6976 & 12208
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1744. 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 1744, what are the numbers?" or "What are two numbers whose GCF is 1744?"

What two numbers have a GCF of 1745?
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