Question

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

Answer 1

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!

Answer 2

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