Which expression is the greatest common factor of (125t^3 m^5+60t^4 m^4+85t^5 m^2)

Answer 1

don't know how the parentheses are supposed to help. If you mean the GCF of

(125t^3) (m^5+60t^4) (m^4+85t^5) (m^2)

I'd say its just the product, since they have no common factor at all.

If you mean

(125t^3 m^5) (60t^4 m^4) (85t^5 m^2)

then we have

125 t^3 m^5 = 5^3 t^3 m^5
60 t^4 m^4 = 2^2 3 5 t^4 m^4
85 t^5 m^2 = 5 17 t^5 m^2

GCF = 5 t^3 m^2
Look for highest power of each prime/variable that appears in all expressions