“Inherent” has the sense of being attached.
Mountain climbing is inherently dangerous. It exposes you to storms, avalanches, and a risk of falling.
There is an inherent risk is investing. Diversification reduces the risk.
Women’s role in human reproduction is inherently different from that of men.
“Intrinsic” has the sense of being internal. You can talk of having “intrinsic motivation”.
Mountain climbers find reaching a summit intrinsically satisfying.
Intrinsic semiconductors are extrinsically doped to make electronic devices.
Gold has an intrinsic value due to its properties as a metal, but its market value is determined by the status it confers upon those who possess it.
It’s an authentic Rolex. It costs $30,000.
He has an authentic Cajun accent that is hard to understand.
They have an authentic love which has endured 50 years.