Answer:
6x
Explanation:
Since 18xy,12x18xy,12x contains both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numericpart, then find GCF for the variable part.Steps to find the GCF for 18xy,12x18xy,12x:1. Find the GCF for the numerical part 18,1218,122. Find the GCF for the variable part x1,y1,x1x1,y1,x13. Multiply the values togetherFind the common factors for the numerical part:18,1218,12The factors for 1818 are 1,2,3,6,9,181,2,3,6,9,18.Tap for more steps...1,2,3,6,9,181,2,3,6,9,18The factors for 1212 are 1,2,3,4,6,121,2,3,4,6,12.Tap for more steps...1,2,3,4,6,121,2,3,4,6,12List all the factors for 18,1218,12 to find the common factors.1818: 1,2,3,6,9,181,2,3,6,9,181212: 1,2,3,4,6,121,2,3,4,6,12The common factors for 18,1218,12 are 1,2,3,61,2,3,6.1,2,3,61,2,3,6The GCF for the numerical part is 66.GCFNumerical=6GCFNumerical=6Next, find the common factors for the variable part:x,y,xThe factor for x1x1 is xx itself.xxThe factor for y1y1 is yy itself.yyThe factor for x1x1 is xx itself.xxList all the factors for x1,y1,x1x1,y1,x1 to find the common factors.x1=xx1=xy1=yy1=yx1=xx1=xThe common factor for the variables x1,y1,x1x1,y1,x1 is xx.xxThe GCF for the variable part is xx.GCFVariable=xGCFVariable=xMultiply the GCF of the numerical part 66 and the GCF of the variable part xx.6x