What is the greatest perfect square that is a factor of 7 factorial?

Answer 1

7 factorial means 7x6x5x4x3x2x1

which can be rewritten as 7x(3x2)x5x(2x2)x3x2x1 when 6 and 4 are factored.

Notice the repeating factors are (3x3)x(2x2)x(2x2) = (3x2x2)x(3x2x2) = 12 squared = 144

Answer 2

144