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To get the Greates Common Factor (GCF) of 846 and 564 we need to factor each value first and then we choose all the copies of factors and multiply them:
|846: ||2|| ||3||3||47|
|564: ||2||2||3|| ||47|
|GCF: ||2|| ||3|| ||47|
The Greates Common Factor (GCF) is: 2 x 3 x 47 = 282