What is the greatest perfect square that is a factor of 2695? Here we will show you how to find the greatest perfect square that is a factor of 2695.
The factors of 2695 are all of the integers that can be evenly divided into 2695. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 2695, we will list the factors of 2695, 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 2695: 1, 5, 7, 11, 35, 49, 55, 77, 245, 385, 539, 2695.
The perfect squares from the factor list: 1, 49
The greatest perfect square from the perfect square list: 49
Therefore, the greatest perfect square that is a factor of 2695 is 49.
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