What is the greatest perfect square that is a factor of 19152? Here we will show you how to find the greatest perfect square that is a factor of 19152.
The factors of 19152 are all of the integers that can be evenly divided into 19152. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 19152, we will list the factors of 19152, 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 19152: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 19, 21, 24, 28, 36, 38, 42, 48, 56, 57, 63, 72, 76, 84, 112, 114, 126, 133, 144, 152, 168, 171, 228, 252, 266, 304, 336, 342, 399, 456, 504, 532, 684, 798, 912, 1008, 1064, 1197, 1368, 1596, 2128, 2394, 2736, 3192, 4788, 6384, 9576, 19152.
The perfect squares from the factor list: 1, 4, 9, 16, 36, 144
The greatest perfect square from the perfect square list: 144
Therefore, the greatest perfect square that is a factor of 19152 is 144.
Greatest Perfect Square of Factors Calculator
Use the calculator below to find the greatest perfect square of factors for another number.