What two numbers have a GCF of 1752?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1752.

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 1752. Below is the beginning list of multiples of 1752 (1 through 7) in numerical order.

1. 1752
2. 3504
3. 5256
4. 7008
5. 8760
6. 10512
7. 12264
etc...

Two numbers that have a GCF of 1752 can be 1752 and any other number on the list above. Thus, two numbers that have a GCF of 1752 are:

1752 & 3504
1752 & 5256
1752 & 7008
etc...

That is not all! Any combination of any multiple of 1752 and "odd" multiples of 1752 will also have GCF of 1752. 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 1752.

3504 & 5256
3504 & 8760
7008 & 8760
7008 & 12264
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1752. 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 1752, what are the numbers?" or "What are two numbers whose GCF is 1752?"

What two numbers have a GCF of 1753?
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