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No. The smallest coefficient possible is 1, and the smallest GCF is also 1. You cannot have a common factor of zero.

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Q: Can the greatest common factor ever be smaller than the smallest coefficient?
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When finding the greatest common factor of a polynomial can it ever be larger than the smallest coefficient?

Yes, the greatest common factor is less than or equal to the smallest coefficient. For example, the greatest common factor of 38 and 8 is 2.


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