What is the greatest perfect square that is a factor of 4704? Here we will show you how to find the greatest perfect square that is a factor of 4704.
The factors of 4704 are all of the integers that can be evenly divided into 4704. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 4704, we will list the factors of 4704, 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 4704: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704.
The perfect squares from the factor list: 1, 4, 16, 49, 196, 784
The greatest perfect square from the perfect square list: 784
Therefore, the greatest perfect square that is a factor of 4704 is 784.
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