Whats the greatest common factor for 8m^4n and 16mn^2

I believe the gcf would be 8m

bc if u have 8m raised to the power of 4n and 16mn raised to the power of 2

the gcf would be 8m

unless i am wrong which very well may be

Have a blessed day!

Determine factorization for each term. Use prime factorization for the numbers.

8m⁴n = 2³ * m⁴ * n

16mn² = 2⁴ * m * n²

To find the greatest common factor, pick equal factors

equal factors are 2, m, n

then pick the equal factors which have lowest exponential number

2³, m, n

Greatest common factor

2³ * m * n

= 8mn

The greatest common factor is 8mn