The GCF is 4xy
4(2x + 3y)(2x + 3y)
48xy
lcm(16xy, 3x) = 48xy
9x2 + 48xy + 64y2 = (3x + 8y)2. Since it is a squared number cannot be a prime. We can say that as a perfect square number, it is formed by the sum of 1 and some prime numbers (excluded 2), i.e 1 + 3 + 5 + 7 + 11 + ... n, where n is a prime.