What is the greatest perfect square that is a factor of 700? Here we will show you how to find the greatest perfect square that is a factor of 700.
The factors of 700 are all of the integers that can be evenly divided into 700. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 700, we will list the factors of 700, 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 700: 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700.
The perfect squares from the factor list: 1, 4, 25, 100
The greatest perfect square from the perfect square list: 100
Therefore, the greatest perfect square that is a factor of 700 is 100.
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