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Verified Answer :

deal with the numbers first 

GCF of 16, 40 and 68 is  4

there is no GCF of the variables 

so required GCF is 4



Answer:

4 is the GCF of \(16s^3t\), \(40s^5\) and \(68t^2\)

Step-by-step explanation:

Find the GCF of \(16s^3t\), \(40s^5\) and \(68t^2\).

GCF is the largest number that divide these numbers.

List the prime factor of  \(16s^3t\), \(40s^5\) and \(68t^2\) as:

\(16s^3t = 2 \cdot 2 \cdot 2 \cdot 2 \cdot s \cdot s \cdot s \cdot t\)

\(40s^5 = 2 \cdot 2 \cdot 2 \cdot 5 \cdot s \cdot s \cdot s \cdot s \cdot s\)

\(68t^2 = 2 \cdot 2 \cdot 17 \cdot t \cdot t\)

Common factor of  \(16s^3t\), \(40s^5\) and \(68t^2\) is, \(2 \cdot 2= 4\)

Greatest common factor of \(16s^3t\), \(40s^5\) and \(68t^2\) is, 4