The Yukon Territory.
British Columbia borders the US states of Washington, Idaho, Montana, and Alaska.
Washington, Idaho, Montana, and Alaska are the US states that border British Columbia. British Columbia is a Canadian province. Its capital is Victoria.
Alaska is not in a Canadian province; it is an American state.
The province directly east of Alaska is Yukon.
Canada is east of Alaska and north of Washington, Idaho, and Montana.
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Alaska.
Alaska
Obviously Alaska is north of Idaho. States in the "Lower 48" that have significant amounts of terrain farther north than the northern border of Idaho include Washington and Maine. Minnesota has a little tip that seems to be slightly farther north than Idaho, but if it is, it's not by much. The Canadian province of British Columbia abuts Idaho's northern border.
Idaho borders British Columbia
Technically, there is no province directly East of Alaska. The territory directly East of Alaska, however, is the Yukon Territory.
Quebec is bigger. Quebec : 1 667 441 km2 Alaska : 1 518 800 km2 Not only is Quebec the biggest province in Canada, it is also bigger than any US State, Alaska being the largest US State.