Question

HCF of 38 95 171 with proof

Answer 1

Step-by-step explanation:

1. Decompose all numbers into prime factors

38 2 19 19 1 95 5 19 19 1 171 3 57 3 19 19 1

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

Prime factors of 38 = 2 . 19

Prime factors of 95 = 5 . 19

Prime factors of 171 = 32 . 19

3. Choose the common prime factors with the lowest exponent

Common prime factors: 19

Common prime factors with the lowest exponent: 191

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 = 191 = 19