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The GCF of 300, 625, and 675 is 25.
First the smallest difference between any of the two numbers is 50, so we know that the GCF can't be greater than 50. 50 is not a factor of 625 and 675, so it can't be the GCF.
Next we can try 50/2 = 25. 25 is, in fact, a factor of 300, 625, and 675, so it's the GCF.
Factors of 165: 1, 3, 5, 11, 15, 33, 55, 165.
Factors of 675: 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675.
GCF (165, 675) = 15
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