Suppose I have a logistic regression output as follows.

Coefficients:
                  Estimate Std. Error z value Pr(>|z|)
(Intercept)     -5.8700887  0.0506436 -115.91   <2e-16 ***
f1     0.0511820  0.0005718   89.51   <2e-16 ***
f2     10.8470102  0.0992892  109.25   <2e-16 ***
f3         0.3762872  0.0108390   34.72   <2e-16 ***

In this case, which variable play the most important role in the model? Is it f1 (the lowest coefficient) or f2 (the highest one)?

Suppose I have a logistic regression output as follows.

Coefficients:
                 Estimate   Std. Error z value  Pr(>|z|)
(Intercept)     -5.8700887  0.0506436 -115.91   <2e-16 ***
f1               0.0511820  0.0005718   89.51   <2e-16 ***
f2              10.8470102  0.0992892  109.25   <2e-16 ***
f3               0.3762872  0.0108390   34.72   <2e-16 ***

In this case, which variable play the most important role in the model? Is it f1 (the lowest coefficient) or f2 (the highest one)?