Question

Find HCF of 112 and 144 with prime factorization method

Answer 1

Step-by-step explanation:

Steps to find HCF

i) Find the prime factorization of 112

112 = 2 × 2 × 2 × 2 × 7

ii) Find the prime factorization of 144

144 = 2 × 2 × 2 × 2 × 3 × 3

iii) To find the GCF, multiply all the prime factors. common to both numbers:

Therefore, GCF = 2 × 2 × 2 × 2

HCF = 16

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Answer 2

Answer:

HCF = 16.

Step-by-step explanation:

1. Find the prime factorization of 112. 112 = 2 × 2 × 2 × 2 × 7.
2. Find the prime factorization of 144. 144 = 2 × 2 × 2 × 2 × 3 × 3.
3. Therefore, HCF = 2 × 2 × 2 × 2.