Question

Find the HCF of the following by prime factorization method:

$28,35,49$

Answer 1

Prime factorization of $28,35$ and $49$ by division method is shown as:

Prime factor of $28=2\times 2\times 7$

Prime factor of $35=5\times 7$

Prime factor of $49=7\times 7$

Common prime factors of $28,35$ and $49$ is $7$

Therefore, H.C.F of $28,35$ and $49$ is $7$.

Hence, HCF of $28,35$ and $49$ by prime factorization method is $7$.