Answer:
Greatest prime factor of is 7.
Step-by-step explanation:
Given that
Two positive integers are and .
(1) Greatest Common Factor or <em>HCF</em> of and is 5.
(2) Least Common Multiple or <em>LCM </em>of and is 105.
To find:
The greatest prime factor of the product = ?
Solution:
First of all, let us learn about a property of HCF and LCM of two numbers.
The product of two numbers and is equal to the product of their HCF and LCM.
Using this property for the given numbers:
Now, let us make prime factors of to find the greatest of the prime factors.
So, the prime factors of are 5, 5, 3 and 7.
Greatest prime factor of is 7.