If n and t are positive integers, what is the greatest prime factor of the product nt ? (1) The greatest common factor of n and t is 5. (2) The least common multiple of n and t is 105.

Greatest prime factor of is 7.

Step-by-step explanation:

Given that

Two positive integers are and .

(1) Greatest Common Factor or HCF of and is 5.

(2) Least Common Multiple or LCM 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.

the answer is somewhere there guys it really . there im just not gonna answer

step-by-step explanation:

but i'm guessing ur first option tho