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To get the Greates Common Factor (GCF) of 585 and 728 we need to factor each value first and then we choose all the copies of factors and multiply them:
|585: || || || ||3||3||5|| ||13|
|728: ||2||2||2|| || || ||7||13|
|GCF: || || || || || || || ||13|
The Greates Common Factor (GCF) is: 13