Question

Find the HCF of 26 and 91 by prime factorisation.

Answer 1

HCF of 26 and 91 is 13  by using prime factorization method​.

What is HCF?

• The highest number that divides each of the two or more numbers is called the Highest Common Factor (HCF).

What are Prime Factors?

• Prime Factors are the factors of the given numbers. For example, 2 and 13 are prime numbers as well as the prime factors of 26.

Finding HCF of 26 and 91 by using the prime factorization method​:

Prime Factors of 26 :

26 = 2 x 13

Prime factors of 91  :

91 = 7 x 13

Common prime factor of 26 and 91 is 13.

Hence, The required answer is 13.

Answer 2

✴️HCF: ✴️

The Highest Common Factor (H.C.F) of two (or more) numbers is the largest number that divides evenly into both numbers. In other words the H.C.F is the largest of all the common factors.

✴️To find :✴️

HCF of 26 and 91

✴️Solution:✴️

$26 = 13 \times 2$

$91 = 13 \times 7$

✍️ HCF of 26 and 91 is 13.