High School

Find the greatest common factor (GCF) of the monomials [tex]45x^6[/tex] and [tex]75x^5[/tex].

Answer :

Final answer:

The GCF of the monomials 45x^6 and 75x^5 is 15x^5.

Explanation:

To find the greatest common factor (GCF) of the monomials 45x6 and 75x5, we need to find the highest power of x that both terms share. In this case, the common factor is x5. Next, we look at the numerical coefficients, which are 45 and 75. The GCF of 45 and 75 is 15. Therefore, the GCF of the monomials is 15x5.

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