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question identify the greatest common factor of 40a^3b^3 and 32a^3.

Question

question identify the greatest common factor of 40a^3b^3 and 32a^3.

Explanation:

Step1: Factorize the coefficients

$40 = 2\times2\times2\times5$ and $32=2\times2\times2\times2\times2$. The greatest - common factor of 40 and 32 is $2\times2\times2 = 8$.

Step2: Analyze the variable part

For the variable $a$, in $40a^{3}b^{3}$ and $32a^{3}$, the lowest power of $a$ is $a^{3}$. There is no $b$ in $32a^{3}$.

Answer:

$8a^{3}$