Is Notre Dame or Williams more prestigious for college admissions and general reputation?

The biggest practical tradeoff is national-name visibility versus elite small-college cachet. Notre Dame has a broader public profile, especially because of its athletics, alumni network, Catholic identity, and large national fan base, so more people across the country will instantly recognize it. Williams carries a more rarefied academic reputation in higher education circles, especially among people familiar with top liberal arts colleges, but it is less of a household name outside those spaces.

In terms of raw public recognition, Notre Dame is more widely known. Its brand is unusually strong for an undergraduate-focused institution, and that reputation extends well beyond academia into business, sports, politics, and general public awareness. If someone asks which school has the more immediately recognizable name, Notre Dame usually wins that comparison.

In terms of prestige within college admissions and academic circles, this gets closer. Williams is often viewed as one of the most distinguished liberal arts colleges in the country, with a very strong reputation for teaching, intellectual culture, and selective jobs. Among counselors, professors, and admissions people, Williams can carry as much prestige as or even more prestige than many famous universities, but that prestige is concentrated in people who understand the liberal arts college world.

So the answer depends on whose opinion you mean. For broad general reputation, Notre Dame has the bigger national brand. For highly informed academic prestige, Williams is at least its equal and in some circles may be seen as the more elite undergraduate institution.