Answer :

The GCF of 60x⁹ and 54x⁵ is 6x⁵.

To find the GCF of 60x⁹ and 54x⁵, follow these steps:

Identify the GCF of the coefficients 60 and 54.

Break down each coefficient into its prime factors:

60 = 2² × 3 × 5

54 = 2 × 3³

The common prime factors are 2 and 3. The lowest powers of these common factors are 2¹ and 3¹.
So, the GCF of 60 and 54 is 2 × 3 = 6.

Identify the GCF of the variables x⁹ and x⁵:

Since the base is the same (x), take the lower exponent: x⁵.

Combining both results, the GCF of 60x⁹ and 54x⁵ is 6x⁵.

Answer:

6x⁵

Step-by-step explanation:

To get the GCF of 60x⁹ and 54x⁵, get the product of common divisors of the two terms.

Please find the attached.