Half Wave Rectifier:
The ripple factor of a half wave rectifier is a measure of the amount of AC voltage present in the rectified output. It is given by the ratio of the root mean square (rms) value of the ripple voltage to the DC output voltage.

Formula:
Ripple factor (γ) = Vrms / Vdc

where:
Vrms is the rms value of the ripple voltage
Vdc is the average DC output voltage

Frequency:
The ripple voltage is directly proportional to the frequency of the AC input signal. As the frequency increases, the ripple voltage also increases. This can be understood by considering the fact that a higher frequency results in a shorter time duration for each half cycle, leading to less time for the capacitor to charge and discharge. Consequently, the ripple voltage becomes more significant.

Load Resistance:
The ripple voltage is inversely proportional to the load resistance in a half wave rectifier. As the load resistance increases, the ripple voltage decreases. This is because a higher load resistance allows the capacitor to discharge more slowly, resulting in a smaller ripple voltage.

Therefore, the ripple factor of a half wave rectifier is influenced by both the frequency and the load resistance.

Full Wave Rectifier:
The ripple factor of a full wave rectifier is also a measure of the amount of AC voltage present in the rectified output. However, in a full wave rectifier, the ripple frequency is twice the input AC frequency, and the ripple factor is defined slightly differently.

Formula:
Ripple factor (γ) = Vrms / Vdc

where:
Vrms is the rms value of the ripple voltage
Vdc is the average DC output voltage

Frequency:
In a full wave rectifier, the ripple frequency is twice the input AC frequency. This means that for the same input frequency, the ripple frequency is higher in a full wave rectifier compared to a half wave rectifier. As a result, the ripple voltage is reduced, and the output is smoother.

Load Resistance:
Similar to a half wave rectifier, the ripple voltage in a full wave rectifier is inversely proportional to the load resistance. A higher load resistance allows the capacitor to discharge more slowly, resulting in a smaller ripple voltage.

Therefore, the ripple factor of a full wave rectifier is also influenced by both the frequency and the load resistance.