Question

find hcf of 26 and 91 using prime factorisation method​

Answer 1

Step-by-step explanation:

Given 2 numbers are 26 and 91

Prime factors of 26=13×2

Prime factors of 91=13×7

So from the prime factors LCM=13×2×7=182

HCF=13

Product of the numbers =26×91

2366

Product of LCM and HCF =182×13

2366

LHS=RHS

Hence proved

Answer 2

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, Required answer is 13.