Liberal Democrat leader Nick Clegg paid tribute to Thatcher's resoluteness, saying she was a remarkable politician.
"Her memory will no doubt continue to divide opinion and stir deep emotion, but as we as a nation say farewell to a figure who loomed so large, one thing is for sure. The memory of her will continue undimmed, strong and clear for years to come."
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The prince laid a floral wreath at one of a group of metal crosses near Wellington Arch in central London.
The group, which also owns Premier Inn, said on Wednesday that it will pursue a ‘demerger of Costa’.
The showers will become more frequent as the day goes on, giving some heavy downpours in places during the afternoon.