Method 1:

Factor the each monomial.

32 =  2 · 2 · 2 · 2 · 2 · 2

24t² =  2 · 2 · 2 · 3 · t  · t 

The GCF is the product of the common prime factors in each monomial.

GCF = 2 · 2 · 2 = 8 \ \ The greatest common factor of 32 and 24t² is 8.

The greatest common factor of 32 and 24t² is 8.