Answer:The G.C.F of 18x^6 and 24y^2 is 6 ....Step-by-step explanation:To find the G.C.F of any two numbers we have to find the prime factors of the each number and then multiply the common factors of the both the numbers to get the G.C.F.The numbers we have are:18x^6 and 24y^2The prime factors of 18 are:18 =2*3*3The prime factors of 24y^2 are: 24 = 2*2*2*3Here we can see that the common factors in both the numbers are:2*3 = 6Thus the G.C.F of 18x^6 and 24y^2 is 6 ....