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Find the greatest common factor.\newline6h3,4h26h^3, 4h^2\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.\newline6h3,4h26h^3, 4h^2\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_
  1. Factorization of 6h36h^3: First, find the complete factorization of 6h36h^3.\newline6=2×36 = 2 \times 3\newlineh3=h×h×hh^3 = h \times h \times h\newlineSo, 6h3=2×3×h×h×h6h^3 = 2 \times 3 \times h \times h \times h
  2. Factorization of 4h24h^2: Next, find the complete factorization of 4h24h^2.$4=2×2\$4 = 2 \times 2\)$h2=h×h\$h^2 = h \times h\)So, 4h2=2×2×h×h4h^2 = 2 \times 2 \times h \times h
  3. Greatest Common Factor: Now, find the greatest common factor of 6h36h^3 and 4h24h^2. The common factors are 22, hh, and hh. Therefore, the greatest common factor is 2×h×h=2h22 \times h \times h = 2h^2.

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