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GCD by Factorization

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Question

Find the greatest common factor (GCF/HCF) of the following polynomial:
a²b³, a³b²

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Solution

The common literals appearing in the three monomials are a and b.
The smallest power of x in the two monomials is 2.
The smallest power of y in the two monomials is 2.
The monomial of common literals with the smallest powers is a²b².
Hence, the greatest common factor is a²b².

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