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To get the Greates Common Factor (GCF) of 468 and 6500 we need to factor each value first and then we choose all the copies of factors and multiply them:
|468: ||2||2||3||3|| || || ||13|
|6500: ||2||2|| || ||5||5||5||13|
|GCF: ||2||2|| || || || || ||13|
The Greates Common Factor (GCF) is: 2 x 2 x 13 = 52