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Adjust rack to top position and preheat oven to 425 degrees. Wash and dry produce.
Dice potatoes into ½-inch pieces. Cut broccoli into bite-size pieces if necessary.
Place potatoes in a large pot (divide between two large pots for 8 servings) with enough salted water to cover by 2 inches. Bring to a boil and cook for 5 minutes.
Once potatoes have cooked 5 minutes, add broccoli. Cook, until broccoli is bright green and potatoes are tender, 5-7 minutes more.
Drain, then transfer broccoli to a large bowl; return potatoes to pot. TIP: It's OK if there are bits of broccoli in your potatoes!