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Question
Find the HCF of the numbers in each of the following, using the prime factorization method:
72, 108, 180
Solution
The given numbers are 72, 108 and 180
We have:
Now, 72=2 × 2 × 2 × 3 × 3 = 23 × 32
108 = 2 × 2 × 3 × 3 × 3 = 22 × 33
180 = 2 × 2 × 3 ×3 × 5 = 22 × 32 × 5
∴ HCF =22×32 =36
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