Now, the degree of the remainder is less than the degree of the divisor so we can not continue further so lets do STEP 2 of Euclidean Division the new DlVISOR is the previous step remainder the new DlVIDEND is the previous step DlVISOR..ok now lets continue the division process we divide until our REMAlNDER is ZERO the DlVISOR of the step where the remainder is zero is a factor to both p(x) and g(x) so the common factors of p(x) and g(x) are x/2 and x square plus 4x plus 4 