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To get the Greates Common Factor (GCF) of 45000 and 120000 we need to factor each value first and then we choose all the copies of factors and multiply them:
|45000: ||2||2||2|| || || ||3||3||5||5||5||5|
|120000: ||2||2||2||2||2||2||3|| ||5||5||5||5|
|GCF: ||2||2||2|| || || ||3|| ||5||5||5||5|
The Greates Common Factor (GCF) is: 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 = 15000