Greatest common factor of 50c6 and 16c5

2c^5 is the greatest common factor.

Step-by-step explanation:

I believe you meant 50c^6 and 16c^5.  c6 and c5 have no meaning.  c^6 and c^5 are the sixth and fifth powers of c, respectively.

What do the two terms of 50c^6 and 16c^5 have in common?  c^5 is common to both c^6 and c^5, and so, if we factor out c^5, we get:

c^5(50c + 16).

Note that 50c and 16 have only 2 as their common factor:  2(25c + 8).  Thus, the final factored form of 50c^6 and 16c^5 is 2c^5(25c + 8).

2c^5 is the greatest common factor.