Sum

Find the greatest common factor (GCF/HCF) of the following polynomial:

14x^{3}y^{5}, 10x^{5}y^{3}, 2x^{2}y^{2}

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#### Solution

The numerical coefficients of the given monomials are 14, 10 and 2. The greatest common factor of 14, 10 and 2 is 2.

The common literals appearing in the three monomials are x and y.

The smallest power of x in the three monomials is 2.

The smallest power of y in the three monomials is 2.

The monomial of common literals with the smallest powers is x^{2}y^{2}.

Hence, the greatest common factor is 2x^{2}y^{2}.

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