What is the greatest perfect square that is a factor of 18688? Here we will show you how to find the greatest perfect square that is a factor of 18688.
The factors of 18688 are all of the integers that can be evenly divided into 18688. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 18688, we will list the factors of 18688, 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 18688: 1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 256, 292, 584, 1168, 2336, 4672, 9344, 18688.
The perfect squares from the factor list: 1, 4, 16, 64, 256
The greatest perfect square from the perfect square list: 256
Therefore, the greatest perfect square that is a factor of 18688 is 256.
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