Answer :

(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 28p^{2}q^{2}= 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 3x^{2}= 3× x × x

Factor of 4 = 2 × 2

Common factor is 1

(v) _{Factor of 6abc = 2 × 3 × a × b × c}

Factor of 24ab^{2} = 2× 2 × 2 × 3 × a × b × b

Factor of 12a^{2}b = 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 16x^{3} = 2 × 2 × 2 × 2 × x × x × x

Factor of -4x^{2} = -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 3x^{2}y^{3} = 3 × x × x × y × y × y

Factor of 10x^{3}y^{2} = 2× 5 × x × x × x × y × y

Factor of 6x^{2}y^{2}z = 2× 3 × x × x × y× y × z

Common factors are x × x, y × y

Product of common factors = x^{2}y^{2}

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