Question

The HCF of two consecutive odd numbers is

• A. $28$
• B. $30$
• C. $1$
• D. $5$

Answer 1

Answer: (C)

$1$

We know that, any two consecutive odd numbers will have only $1$ as their common factor.

For example, let's take two odd numbers $15$ and $17$.

Factors of $15=1,3,5$

Factors of $17=1,17$

Hence, HCF is $1$

Similar is the case with $7$ and $9$, or $29$ and $31$. or $109$ and $111$. or any other pair of consecutive odd integers.

Hence, the HCF of two consecutive odd numbers is $1$.