Concept:
Power factor is:
\[
\cos\phi
\]
Step 1: In a purely inductive circuit, current lags voltage by:
\[
90^\circ
\]
Step 2: Therefore:
\[
\phi=90^\circ
\]
Step 3: Power factor:
\[
\cos90^\circ=0
\]
Step 4: Since current lags voltage, it is called zero lagging power factor.
Therefore:
\[
\boxed{\text{Zero lagging}}
\]