Question

Find the HCF of 144, 120, 60 .
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Answer 1

Answer:

Decompose all numbers into prime factors

60 2 30 2 15 3 5 5 1 120 2 60 2 30 2 15 3 5 5 1 144 2 72 2 36 2 18 2 9 3 3 3 1

2. Write all numbers as the product of its prime factors

Prime factors of 60 = 22 . 3 . 5

Prime factors of 120 = 23 . 3 . 5

Prime factors of 144 = 24 . 32

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3

Common prime factors with the lowest exponent: 22, 31

4. Calculate the Greatest Common Factor or GCF

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

GCF = 22. 31 = 12

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