# Explain what is happening when using the difference method for determining the greatest common factor. Why does this work?

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Use a numeric reference to compare and check the presented logic.

Use a numeric reference to compare and check the presented logic.

##### 1 Answer

#### Answer:

See the explanation

#### Explanation:

Let one of the common factors be

let a numeric count be

As the numbers to be tested I chose:

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As the process is based on subtraction then the starting point of

This will be true of every subtraction in that the difference will a factor.

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Set the following

The subtraction process

This system is stating that the

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