Question

What is the greatest common factor of the following monomials: 6c^5 and 15c^6?

A) 6c^6
B) 3c^5
C) 3c^6
D) 90c^11

Answer 1

The greatest common factor of the monomials 6c^5 and 15c^6 is 3c^5. This is found by determining the GCF of the coefficients and the lowest power of the variable c in both monomials.

Step-by-step explanation:

To find the greatest common factor (GCF) of the monomials 6c^5 and 15c^6, we need to consider both the coefficients and the variables in the monomials. Looking at the coefficients, 6 and 15, the GCF is 3. Next, we look at the variables. Since the lowest power of c in both monomials is c^5, this is the GCF for the variable part. Therefore, the greatest common factor of the two monomials is 3c^5.