この部屋の最大の魅力は、広い窓からの景色です。
The biggest appeal of this room is the view from the large window.
最大で10人まで参加できます。
A maximum of 10 people can participate.
This medicine produces the greatest effect.
The typhoon's intensity is expected to reach its maximum tonight.
This year's sales recorded the highest figure ever.
最大 is used for measurable, quantitative maximums (最大値 'maximum value'), whereas 極度 is used for the intensity of a state or feeling.
maximization
maximum number; maximum; limit