HCF of 5 ^ 2 * 3 ^ 2 and 3 ^ 5 * 5 ^ 3 is a. 5 ^ 3 * 3 ^ 5 b. 5 * 3 ^ 3 c. 5 ^ 3 * 3 ^ 2 d. 5 ^ 2 * 3 ^ 2

The Highest Common Factor (HCF) of two numbers is the largest number that divides both of them without leaving a remainder.

Given numbers are 5 ^ 2 * 3 ^ 2 and 3 ^ 5 * 5 ^ 3.

The powers of 5 in the given numbers are 2 and 3. The smallest power is 2. So, the power of 5 in the HCF is 2.

The powers of 3 in the given numbers are 2 and 5. The smallest power is 2. So, the power of 3 in the HCF is 2.

Therefore, the HCF of the given numbers is 5 ^ 2 * 3 ^ 2.

So, the correct answer is d. 5 ^ 2 * 3 ^ 2.