One way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 16X are 1, 2, 4, 8, 16, 1X, 2X, 4X, 8X, and 16X. The factors of 36X are 1, 2, 3, 4, 6, 9, 12, 18, 36, 1X, 2X, 3X, 4X, 6X, 9X, 12X, 18X, and 36X. The common factors are 1, 2, 4, 1X, 2X, and 4X. Therefore, the greatest common factor is 4X (if X>1). The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. Since we do not know what X is, but it is common to both numbers, it does not matter whether or not it is actually a prime number. The prime factors of 16X are 2, 2, 2, 2, and X. The prime factors of 36X are 2, 2, 3, 3, and X. The prime factors in common are 2, 2, and "X", so the greatest common factor is 2 x 2 x "X" = 4X.
Greatest common factor of 16x and 36x is 4x.
The GCF is 4x.
The GCF is 16x.
The GCF is 8.
2 * 2 * 2 * 2 * x * x * x = 16x^3
2 times 2 times 2 times 2 times x = 16x
In the absence of signs I have assumed the term in 16x and 60 are negative: ie x2 - 16x = -60 or x2 - 16x + 60 = 0 Factors of 60 which total -16 are -6 and -10, so (x - 6)(x - 10)
That factors to (x - 14)(x - 2)
x2 - 16x + 28 = x2 -2x - 14x - 28 = x(x - 2) - 14(x - 2) = (x - 14)(x - 2)
16x + 2 - 8 = 16x + 24 implies 16x - 6 = 16x + 24 subtracting 16x from both sides, this implies: -6 = 24 So the equation has no soultions.
Too bad that's not x^2 - 16x + 64 which factors to (x - 8)(x - 8)
16x + 2 - 8 = 16x + 24 implies 16x - 6 = 16x + 24 subtracting 16x from both sides, this implies: -6 = 24 So the equation has no soultions.
16x-32 = -16
15x-16x = -1
sqrt[(16x)4] = (16x)2 = 256x2
There can be no such number. Since if x is such a number then 4x is a square number with more factors. and if 4x is the number then 16x has more, etc.