What two numbers have a GCF of 753?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 753.

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 753. Below is the beginning list of multiples of 753 (1 through 7) in numerical order.

1. 753
2. 1506
3. 2259
4. 3012
5. 3765
6. 4518
7. 5271
etc...

Two numbers that have a GCF of 753 can be 753 and any other number on the list above. Thus, two numbers that have a GCF of 753 are:

753 & 1506
753 & 2259
753 & 3012
etc...

That is not all! Any combination of any multiple of 753 and "odd" multiples of 753 will also have GCF of 753. 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 753.

1506 & 2259
1506 & 3765
3012 & 3765
3012 & 5271
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 753. 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 753, what are the numbers?" or "What are two numbers whose GCF is 753?"

What two numbers have a GCF of 754?
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