At about the 0:16 mark, the teacher says factoring out the greatest common denominator; he should have said the greatest common factor.
At about the 1:39 mark, after factoring out a 7x, the teacher writes xy for the first term in parentheses; it should be 2xy.
Factoring Blitz #1 - Factoring out common factors
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Questions answered by this video:
How do I factor using the Greatest Common Factor?
How do I factor 30-15y?
How do I factor14x^2y-35xy-63x?
How do I factor 5a(a+3b)+4(a+3b)?
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This lesson shows 3 examples of factoring out the Greatest Common Factor from an expression.