What is the greatest perfect square that is a factor of 18496? Here we will show you how to find the greatest perfect square that is a factor of 18496.
The factors of 18496 are all of the integers that can be evenly divided into 18496. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 18496, we will list the factors of 18496, 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 18496: 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 289, 544, 578, 1088, 1156, 2312, 4624, 9248, 18496.
The perfect squares from the factor list: 1, 4, 16, 64, 289, 1156, 4624, 18496
The greatest perfect square from the perfect square list: 18496
Therefore, the greatest perfect square that is a factor of 18496 is 18496.
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