Find the greatest common factor of 30a4 and 35a5

5a^4

Step-by-step explanation:

Find the GCF of the coefficients, 30 and 35, and find the GCF of the variable parts, a^4 and a^5. The GCF of the monomials is the product of those two GCFs.

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 35: 1, 5, 7, 35

The greatest common factor of 30 and 35 is 5 (shown in bold).

a^4 = a * a * a * a

a^5 = a * a * a * a * a

The greatest common factor of a^4 and a^5 is a^4 (shown in bold).

Answer: 5a^4