What two numbers have a GCF of 1724?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1724.

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 1724. Below is the beginning list of multiples of 1724 (1 through 7) in numerical order.

1. 1724
2. 3448
3. 5172
4. 6896
5. 8620
6. 10344
7. 12068
etc...

Two numbers that have a GCF of 1724 can be 1724 and any other number on the list above. Thus, two numbers that have a GCF of 1724 are:

1724 & 3448
1724 & 5172
1724 & 6896
etc...

That is not all! Any combination of any multiple of 1724 and "odd" multiples of 1724 will also have GCF of 1724. 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 1724.

3448 & 5172
3448 & 8620
6896 & 8620
6896 & 12068
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1724. 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 1724, what are the numbers?" or "What are two numbers whose GCF is 1724?"

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