What two numbers have a GCF of 1764?




Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1764.

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 1764. Below is the beginning list of multiples of 1764 (1 through 7) in numerical order.

1. 1764
2. 3528
3. 5292
4. 7056
5. 8820
6. 10584
7. 12348
etc...

Two numbers that have a GCF of 1764 can be 1764 and any other number on the list above. Thus, two numbers that have a GCF of 1764 are:

1764 & 3528
1764 & 5292
1764 & 7056
etc...


That is not all! Any combination of any multiple of 1764 and "odd" multiples of 1764 will also have GCF of 1764. 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 1764.

3528 & 5292
3528 & 8820
7056 & 8820
7056 & 12348
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1764. 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 1764, what are the numbers?" or "What are two numbers whose GCF is 1764?"

What two numbers have a GCF of 1765?
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