Question

Find the greatest common factor of the following monomials 38n3 8n4

Answer 1

Hey there :)

38n³ and 8n⁴

Let us do numbers and variables separately

38 and 8 are even numbers and therefore 2 is a multiple of both
2 will be the GCF

n³ and n⁴ , n³ will be the GCF because x⁴ does not appear on both

So, your final answer will b 2n³ as the GCF

Answer 2

`38n^(3)=2*19*n*n*n\\8n^(4)=2*2*2*n*n*n*n\\\\GCF=2*n*n*n=2n^(3)`