#### Answer

2

#### Work Step by Step

Given the polynomial
$6t^{2}$ + 12t - 4
We find the factors of all the terms in the polynomial.
Factors of 6: 1,2,3,6
$1 \times 6 ; 2 \times 3$
Factors of 12: 1,2,3,4,6,12
$1 \times 12 ; 2 \times 6$ ; $3 \times 4$
Factors of 4: 2
$2 \times 2$
All the three terms have the factor of 2 and thus the greatest common factor is 2.