(i)12x=2×2×3×x
Factors of 12x=1,2,3,4,6,12,x
36=2×2×3×3
Factors of 36=2,3,4,6,9,12
Therefore, Common factors are=2,3,4,6,12
(ii)2y=2×y
Factors of 2y=2,y
22y=2×11×y
Factors of 22y=2,11,22,y
Therefore, Common factors are=2,y,2y
(iii)14pq=2×7×p×q
Factors of 14pq=2,7,14,p,q
28p2q2=2×2×7×p×p×q×q
Factors of 28p2q2=2,4,7,14,28,p,q
Therefore, Common factors are=2,7,14,pq
(iv)2x=2×x
Factors of 2x=2,x
3x2=3×x×x
Factors of 3x2=3,x
4=2×2
Factors of 4=2,4
Therefore, Common factors are/is=1
(v)6abc=6×a×b×c
Factors of 6abc=2,3,6,a,b,c
24ab2=2×2×2×3×a×b×b
Factors of 24ab2=2,3,4,6,8,12,24,a,b
12a2b=2×2×3×a×a×b
Factors of 12a2b=2,3,4,6,12,a,b
Therefore, Common factors are=2,3,6,ab
(vi)16x3=2×2×2×2×x×x×x
Factors of 16x3=2,4,8,16,x,x2
−x2=−1×x×x
Factors of −x2=−1,x
32x=2×2×2×2×2×x
Factors of 32x=2,4,8,16,x
Therefore, Common factors are=2,x,2x
(vii)10pq=2×5×p×q
Factors of 10pq=2,5,p,q
20qr=2×2×5×q×r
Factors of 20qr=2,4,5,10,q,r
30rp=2×3×5
Factors of 30rp=2,5,3,10,6,15,30,r,p
Therefore, Common factors are=2,5
(viii)3x2y3=3×x×x×y×y×y
Factors of 3x2y3=3,x,y,y2
10x3y2=2×5×x×x×x×y×y
Factors of 10x3y2=2,5,x2,y
6x2y2z=2×3×x×x×y×y×z
6x2y2=2,3,x,y
Therefore, Common factors are=x2y2