Question 34
The number of common prime factors of 75, 60, 105 is

(A) 2
(B) 3
(C) 4
(D) 5

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Solution

Prime factorisation of 75, 60 and 105

$75 = 3 \times 5 \times 5 60 = 3 \times 5 \times 2 \times 2 105 = 3 \times 5 \times 1 \times 7$
Common factors of 75, 60 and 105 are 3 and 5.
Hence, the number of common prime factors of 75, 60 and 105 is 2.

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