Find the greatest common factor of the terms in each of the following expression:
2xyz + 3x²y + 4y²

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Solution

The expression has three monomials: 2xyz, 3x²y and 4y².
The numerical coefficients of the given monomials are 2, 3 and 4. The greatest common factor of 2, 3 and 4 is 1.
The common literal appearing in the three monomials is y.
The smallest power of y in the three monomials is 1.
The monomial of common literals with the smallest powers is y.
Hence, the greatest common factor is y.

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