Suppose the greatest common factor of z and y is g where g is a positive integer.The z = g*a and y = g*b for some integers a and b.
Then one factorisation of (z + y) is g*(a + b). It is possible, of course, that (a + b) can be factorised further.
For example z = 15, y = 21 so that z + y = 36
GCF(z, y) = 3
z = 3*5 and y = 3*7
so (z + y) = 36 can be factorised as 3*(5 + 7) = 3 * 12
But the 12 can be factorised into 2*2*3 so the full factorisation is 2*2*3*3.
The GCF of z and y is 1.
The greatest common factor (GCF) is 4.
3(2x + 1)
using the quadratic formula -4/3 and -0.4
The greatest common factor of 10y plus 15 is 5.
7(2x + 9)
5m
It is 9*(4x + 1).
It is 7*(1 + 2).
It is 7*(12 + 4).
The greatest common factor of 12xy2 + 6x is 6x. The greatest common factor of 12 and 6 is 6, and the greatest common factor of xy2 and x is x. If you took 6x out of both factors, the end result would be 2y2+1
2x3
3