What is the greatest perfect square that is a factor of 18432? Here we will show you how to find the greatest perfect square that is a factor of 18432.
The factors of 18432 are all of the integers that can be evenly divided into 18432. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 18432, we will list the factors of 18432, 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 18432: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2048, 2304, 3072, 4608, 6144, 9216, 18432.
The perfect squares from the factor list: 1, 4, 9, 16, 36, 64, 144, 256, 576, 1024, 2304, 9216
The greatest perfect square from the perfect square list: 9216
Therefore, the greatest perfect square that is a factor of 18432 is 9216.
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