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Find the greatest common factor.\newline6z,3z36z, 3z^3\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_

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Full solution

Q. Find the greatest common factor.\newline6z,3z36z, 3z^3\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_
  1. Factorization of 6z6z: First find the complete factorization of 6z6z.\newline6=2×36 = 2 \times 3\newlinez=zz = z\newline6z=2×3×z6z = 2 \times 3 \times z
  2. Factorization of 3z33z^3: Now, find the complete factorization of 3z33z^3.\newline3=33 = 3\newlinez3=z×z×zz^3 = z \times z \times z\newline3z3=3×z×z×z3z^3 = 3 \times z \times z \times z
  3. Find Greatest Common Factor: We found:\newline6z=2×3×z6z = 2 \times 3 \times z\newline3z3=3×z×z×z3z^3 = 3 \times z \times z \times z\newlineFind the greatest common factor of 6z6z and 3z33z^3.\newlineCommon factors are 33 and zz.\newline3×z=3z3 \times z = 3z\newlineGreatest common factor: 3z3z

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