Question

HCF of 96 144 and 216 in factorization method step by step​

Answer 1

HCF of 96 144 and 216 in factorization method step by step

Decompose all numbers into prime factors

96 2

48 2

24 2

12 2

6 2

3 3

1

144 2

72 2

36 2

18 2

9 3

3 3

1

216 2

108 2

54 2

27 3

9 3

3 3

1

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

Prime factors of 96 = 25 . 3

Prime factors of 144 = 24 . 32

Prime factors of 216 = 23 . 33

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3

Common prime factors with the lowest exponent: 23, 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 = 23. 31 = 24