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The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The GCF of two natural numbers x and y is the largest possible number that divides both x and y.

The GCF of two or more non-zero integers, x & y, is the greatest positive integer m, which divides both, x & y. The Greatest Common Factor is commonly known as GCF. To calculate GCF, there are three common ways: division, multiplication and prime factorization.

Solving the monomials individually by factorizing them:

$\begin{array}{c}8x=2·2·2·x\\ 4x^2=2·2·x·x\end{array}$

The greatest common factor from the above factor is:

$2·2·x=4x$

Taking the common factors from the above factors, the result will be 4x.

Hence, the given statement is true.