What two numbers have a GCF of 735?




Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 735.

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 735. Below is the beginning list of multiples of 735 (1 through 7) in numerical order.

1. 735
2. 1470
3. 2205
4. 2940
5. 3675
6. 4410
7. 5145
etc...

Two numbers that have a GCF of 735 can be 735 and any other number on the list above. Thus, two numbers that have a GCF of 735 are:

735 & 1470
735 & 2205
735 & 2940
etc...


That is not all! Any combination of any multiple of 735 and "odd" multiples of 735 will also have GCF of 735. 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 735.

1470 & 2205
1470 & 3675
2940 & 3675
2940 & 5145
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 735. 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 735, what are the numbers?" or "What are two numbers whose GCF is 735?"

What two numbers have a GCF of 736?
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