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To get the Greates Common Factor (GCF) of 7000 and 1050 we need to factor each value first and then we choose all the copies of factors and multiply them:
|7000: ||2||2||2|| ||5||5||5||7|
|1050: ||2|| || ||3||5||5|| ||7|
|GCF: ||2|| || || ||5||5|| ||7|
The Greates Common Factor (GCF) is: 2 x 5 x 5 x 7 = 350