What two numbers have a GCF of 705?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 705.

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 705. Below is the beginning list of multiples of 705 (1 through 7) in numerical order.

1. 705
2. 1410
3. 2115
4. 2820
5. 3525
6. 4230
7. 4935
etc...

Two numbers that have a GCF of 705 can be 705 and any other number on the list above. Thus, two numbers that have a GCF of 705 are:

705 & 1410
705 & 2115
705 & 2820
etc...

That is not all! Any combination of any multiple of 705 and "odd" multiples of 705 will also have GCF of 705. 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 705.

1410 & 2115
1410 & 3525
2820 & 3525
2820 & 4935
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 705. 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 705, what are the numbers?" or "What are two numbers whose GCF is 705?"

What two numbers have a GCF of 706?
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