Hairy Woodpecker
Leuconotopicus villosus
Adults are mainly black on the upper parts and wings, with a white or pale back and white spotting on the wings; the throat and belly vary from white to sooty brown, depending on subspecies. There is a white bar above and one below the eye. They have a black tail with white outer feathers. Adult males have a red patch or two side-by-side patches on the back of the head; juvenile males have red or rarely orange-red on the crown. The hairy woodpecker measures from 18–26 cm (7.1–10.2 in) in length, 33–43 cm (13–17 in) in wingspan and 40–95 g (1.4–3.4 oz) in weight.
ID text from Wikipedia, CC BY-SA 4.0

Smoky-brown Woodpecker
Leuconotopicus fumigatus
The smoky-brown woodpecker is about 18 cm (7.1 in) long and weighs 31 to 50 g (1.1 to 1.8 oz). Males and females have the same plumage except on their heads. Males are red from forehead to nape with dark feather bases showing through. The female's forehead to nape is dark brown with an olive tinge and occasionally some white speckles. Adults of both sexes of the nominate subspecies fumigatus have a mostly olive-brown face with whitish lores, a thin white supercilium, and a black "moustache" with a thin white line above it.
ID text from Wikipedia, CC BY-SA 4.0

Where you might meet both
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Play today's Daily BirdPhotos and recordings are credited to their authors under the licence shown. Full profiles: Hairy Woodpecker and Smoky-brown Woodpecker.