What two numbers have a GCF of 784?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 784.

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 784. Below is the beginning list of multiples of 784 (1 through 7) in numerical order.

1. 784
2. 1568
3. 2352
4. 3136
5. 3920
6. 4704
7. 5488
etc...

Two numbers that have a GCF of 784 can be 784 and any other number on the list above. Thus, two numbers that have a GCF of 784 are:

784 & 1568
784 & 2352
784 & 3136
etc...

That is not all! Any combination of any multiple of 784 and "odd" multiples of 784 will also have GCF of 784. 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 784.

1568 & 2352
1568 & 3920
3136 & 3920
3136 & 5488
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 784. 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 784, what are the numbers?" or "What are two numbers whose GCF is 784?"

What two numbers have a GCF of 785?
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