Find the greatest common factor of 4a^5 and 14w^2 .
The prime factors of 4 are 2^2. Therefore, the prime factorization of 4a^5 is 2^2 * a^5.
The prime factors of 14 are 2 and 7. Therefore, the prime factorization of 14w^2 is 2 * 7 * w^2.
The greatest common factor is the product of the shared prime factors raised to the lowest power they appear in both expressions.
The shared prime factor is 2. The lowest power of 2 that appears in both expressions is 2^2 = 4.
Therefore, the greatest common factor of 4a^5 and 14w^2 is 4.