Answer:
a. 36
Explanation:
The HCF of two numbers is the largest number that divides both numbers exactly. To find the HCF, we can factor each number completely and then find the factors that are common to both numbers.
The prime factorization of 2²*3³*5 is:
2²*3³*5 = (2*2)*3*3*3*5
The prime factorization of 2²*3²*7 is:
2²*3²*7 = (2*2)*3*3*7
The common factors of 2²*3³*5 and 2²*3²*7 are:
(2*2)*3*3
Therefore, the HCF of 2²*3³*5 and 2²*3²*7 is:
(2*2)*3*3 = 2²*3²=4*9=36