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To get the Greates Common Factor (GCF) of 22050 and 7350 we need to factor each value first and then we choose all the copies of factors and multiply them:
|7350: ||2||3|| ||5||5||7||7|
|GCF: ||2||3|| ||5||5||7||7|
The Greates Common Factor (GCF) is: 2 x 3 x 5 x 5 x 7 x 7 = 7350