Consider a mechanical system named "ResonantMech" that acts as a driven harmonic oscillator. When it operates at its resonance frequency of 419 Hz, the system's amplitude peaks at 25.7 F₀ / k. Determine the Q (quality factor) of this system. [Hint: $A_0=\frac{\left(\frac{F_0}{m}\right)}{\sqrt{{({\omega }^2-{\omega }_0^2)}^2+{\left(\frac{\omega b}{m}\right)}^2}}$ and $Q=\frac{m{\omega }_0}{b}$]