How do you find the greatest common factor of #80x^3, 30yx^2#?

1 Answer
Mar 10, 2018

Answer:

#gcf=10x^2#

Explanation:

Find the prime factorization of each of the given numbers:

#80x^3=16*5=2^4*5*x^3#
#30yx^2=2*3*5*y*x^2#

the greatest common factor is the product of all common factors taken one at a time at the lowest exponent:

#gcf=2*5*x^2=10x^2#