What is the greatest perfect square that is a factor of 2028? Here we will show you how to find the greatest perfect square that is a factor of 2028.
The factors of 2028 are all of the integers that can be evenly divided into 2028. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 2028, we will list the factors of 2028, 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 2028: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028.
The perfect squares from the factor list: 1, 4, 169, 676
The greatest perfect square from the perfect square list: 676
Therefore, the greatest perfect square that is a factor of 2028 is 676.
Greatest Perfect Square of Factors Calculator
Use the calculator below to find the greatest perfect square of factors for another number.