Is it common for women to work in those countries?

What I'm seeing here in Europe is that mothers are working, so when they have grandchildren they are either still working or retired. If they're working, they don't have time to do childcare. If they're retired, they are either worn out and don't have the energy/physical ability to do childcare, or they just want to enjoy the few years of freedom they have.

So grandparents can do some childcare, during weekends or holidays mostly, but they are not the one who would take care of the children during the parent's 9-to-5.

On the other hand, I know some families where the mother staid at home to raise her children and she naturally assumed the same role for her grandchildren. But the chain is broken because their mother is working and will not stop working to do childcare for her grandchildren.