What is the greatest perfect square that is a factor of 19836? Here we will show you how to find the greatest perfect square that is a factor of 19836.
The factors of 19836 are all of the integers that can be evenly divided into 19836. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 19836, we will list the factors of 19836, 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 19836: 1, 2, 3, 4, 6, 9, 12, 18, 19, 29, 36, 38, 57, 58, 76, 87, 114, 116, 171, 174, 228, 261, 342, 348, 522, 551, 684, 1044, 1102, 1653, 2204, 3306, 4959, 6612, 9918, 19836.
The perfect squares from the factor list: 1, 4, 9, 36
The greatest perfect square from the perfect square list: 36
Therefore, the greatest perfect square that is a factor of 19836 is 36.
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