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To get the Greates Common Factor (GCF) of 656 and 697 we need to factor each value first and then we choose all the copies of factors and multiply them:
|656: ||2||2||2||2|| ||41|
|697: || || || || ||17||41|
|GCF: || || || || || ||41|
The Greates Common Factor (GCF) is: 41