Question

The HCF of the numbers 175 and 91 will be:

• A. 5
• B. 7
• C. 9
• D. 25

Hint:

To find HCF, always use prime factorization and take the product of common prime factors with the lowest powers.

Answer 1

The Correct Option is B

Step 1: Prime factorization of 175
\[ 175 = 25 \times 7 = (5^2 \times 7) \]

Step 2: Prime factorization of 91
\[ 91 = 7 \times 13 \]

Step 3: Find common factors
Common factor between $175$ and $91$ is $7$.
\[ \boxed{\text{HCF} = 7} \]