Question

Find the greatest common factor of - 24m3 n 3 + 32m3 n 3 x – 18m2 x 2 n 3

Answer 1

Answer: 3

2

3

3

+

2

4

3

3

−

3

6

2

3                                                                              

Step-by-step explanation: my diclk

Answer 2

Answer: 2m^2n^3

Step-by-step explanation:

I'm assuming this is the expression:

$-\:24m^3n^3\:+\:32m^3\:n^3x\:-\:18m^2\:x^2n^3$

Factor 24m^3n^3 by separating all terms (use 2's and 3's as all terms are divisible by them):

$2\cdot \:2\cdot \:2\cdot \:3\cdot \:m\cdot \:m\cdot \:m\cdot \:n\cdot \:n\cdot \:n$

Factor 32m^3n^3x:

$2\cdot \:2\cdot \:2\cdot \:2\cdot \:2\cdot \:m\cdot \:m\cdot \:m\cdot \:n\cdot \:n\cdot \:n\cdot \:x$

Factor 18m^2x^2n^3:

$2\cdot \:3\cdot \:3\cdot \:m\cdot \:m\cdot \:n\cdot \:n\cdot \:n\cdot \:x\cdot \:x$

Common factor (terms that are present in all factored expressions):

$2\cdot \:m\cdot \:m\cdot \:n\cdot \:n\cdot \:n$

Simplify to:

$2m^2n^3$