What is the greatest perfect square that is a factor of 14336? Here we will show you how to find the greatest perfect square that is a factor of 14336.
The factors of 14336 are all of the integers that can be evenly divided into 14336. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 14336, we will list the factors of 14336, 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 14336: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 2048, 3584, 7168, 14336.
The perfect squares from the factor list: 1, 4, 16, 64, 256, 1024
The greatest perfect square from the perfect square list: 1024
Therefore, the greatest perfect square that is a factor of 14336 is 1024.
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