To factor out the greatest common factor (GCF) from the polynomial \(6t^2 + 4\), we first identify the GCF of the coefficients 6 and 4. The GCF of 6 and 4 is 2.
Now, we can factor out 2 from the polynomial:
\[ 6t^2 + 4 = 2(3t^2 + 2) \]
So, the factored form of the polynomial is:
\[ 2(3t^2 + 2) \]