What is the greatest perfect square that is a factor of 13872? Here we will show you how to find the greatest perfect square that is a factor of 13872.
The factors of 13872 are all of the integers that can be evenly divided into 13872. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 13872, we will list the factors of 13872, 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 13872: 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 289, 408, 578, 816, 867, 1156, 1734, 2312, 3468, 4624, 6936, 13872.
The perfect squares from the factor list: 1, 4, 16, 289, 1156, 4624
The greatest perfect square from the perfect square list: 4624
Therefore, the greatest perfect square that is a factor of 13872 is 4624.
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