Find the common factors of the given terms.
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
(i) Factor of 12 = 2× 2 × 3 ×
Factor of 36 = 2× 2 × 3× 3
Common factors are 2, 2, 3
Product of common factors = 2× 2 × 3 = 12
(ii)Factor of 2y = 2× y
Factor of 22xy = 2× 11 × x × y
Common factors are 2, y
Product of common factors = 2× y = 2y
(iii)Factor of 14pq = 2× 7 × p × q
Factor of 28p2q2= 2× 2 × 7 × p× p × q× q
Common factors are 2, 7, p, q
Product of common factors = 2× 7 × p× q = 14pq
(iv) Factor of 2x = 2 × x
Factor of 3x2= 3× x × x
Factor of 4 = 2 × 2
Common factor is 1
(v) Factor of 6abc = 2 × 3 × a × b × c
Factor of 24ab2 = 2× 2 × 2 × 3 × a × b × b
Factor of 12a2b = 2× 2 × 3 × a × a × b
Common factors are 2, 3, a, b
Product of common factors = 2× 3 × a × b = 6ab
(vi) Factor of 16x3 = 2 × 2 × 2 × 2 × x × x × x
Factor of -4x2 = -2× 2 × x × x
Factor of 32x = 2× 2 × 2 × 2 × 2 × x
Common factors are 2, 2, x
Product of common factors = 2× 2 × x = 4x
(vii) Factor of 10pq = 2 × 5 × p × q
Factor of 20qr = 2× 2 × 5 × q × r
Factor of 30rp = 2× 3 × 5 × r × p
Common factors are 2, 5
Product of common factors = 2× 5 = 10
(viii) Factor of 3x2y3 = 3 × x × x × y × y × y
Factor of 10x3y2 = 2× 5 × x × x × x × y × y
Factor of 6x2y2z = 2× 3 × x × x × y× y × z
Common factors are x × x, y × y
Product of common factors = x2y2