HCFof prime factorisation of 108 144 and 60
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Step-by-step explanation:
. Decompose all numbers into prime factors
60 2 30 2 15 3 5 5 1 108 2 54 2 27 3 9 3 3 3 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 108 = 22 . 33
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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