What is the greatest perfect square that is a factor of 19072? Here we will show you how to find the greatest perfect square that is a factor of 19072.
The factors of 19072 are all of the integers that can be evenly divided into 19072. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 19072, we will list the factors of 19072, then list the perfect squares from the list of factors, and finally, we will pick the greatest perfect square from the list of perfect squares:
The factors of 19072: 1, 2, 4, 8, 16, 32, 64, 128, 149, 298, 596, 1192, 2384, 4768, 9536, 19072.
The perfect squares from the factor list: 1, 4, 16, 64
The greatest perfect square from the perfect square list: 64
Therefore, the greatest perfect square that is a factor of 19072 is 64.
Greatest Perfect Square of Factors Calculator
Use the calculator below to find the greatest perfect square of factors for another number.