We know $\(\mathrm{A}=2^3 \times 3^4 \times 5^6 \& \mathrm{~B}=11^3 \times 13^4 \times 17^6\)$; we need to compare the number of prime factors of $\(A\)$ with the number of prime factors of $\(B\)$.

We have $\(\mathrm{A}=2^3 \times 3^4 \times 5^6\)$ which clearly has 3 prime factors, $\((2,3,5)\)$ and next expression $\(\mathrm{B}=11^3 \times 13^4 \times 17^6\)$ also has 11,13 and 17 i.e. 3 prime factors only.

(Note: - Prime numbers are those which have exactly two positive factors 1 and the number itself).

Hence column A quantity equals column B quantity, so the answer is (C).