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Verified Answer :

GCF is a shared factor
14x^2 and 4xy share the greatest factor of 2x

Answer:

\(2x\)

Step-by-step explanation:

We are given that two terms \(14x^2\) and \(4xy\)

We have to find GCF of given two terms

\(14x^2=2\times 7\times x\times x\)

\(4xy=2\times 2\times x\times y\)

Common  factor of two terms are 2 and x.

Therefore, GCF=\(2\times x=2x\)

Hence, the GCF of  \(14x^2\) and \(4xy\) is given by

\(2x\).

Answer: \(2x\)