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Question
The number of common prime factors of 75, 60, 105 is ______.
Options
2
3
4
5
Solution
The number of common prime factors of 75, 60, 105 is 2.
Explanation:
We have,
3 |
75 |
5 |
25 |
5 |
5 |
1 |
2 |
60 |
2 |
30 |
3 |
15 |
5 |
5 |
1 |
3 |
105 |
5 |
35 |
7 |
7 |
1 |
75 = 3 × 5 × 5
60 = 2 × 2 × 3 × 5
105 = 3 × 5 × 7
The common prime factors of 75, 60 and 105 are 3 and 5 i.e., 2 in number.
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