What is the greatest perfect square that is a factor of 8428? Here we will show you how to find the greatest perfect square that is a factor of 8428.
The factors of 8428 are all of the integers that can be evenly divided into 8428. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 8428, we will list the factors of 8428, 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 8428: 1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428.
The perfect squares from the factor list: 1, 4, 49, 196
The greatest perfect square from the perfect square list: 196
Therefore, the greatest perfect square that is a factor of 8428 is 196.
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