Final answer:
The HCF of mn² and m²n is mn, as it is the largest expression that divides both terms without a remainder.
Step-by-step explanation:
The Highest Common Factor (HCF) of mn² and m²n is the greatest expression that can divide both mn² and m²n without leaving a remainder. To find the HCF, we can decompose both expressions into their prime factors:
- mn² = m × n × n
- m²n = m × m × n
The common factors are m and n, and since there is at least one m and one n in each expression, the HCF is mn. So, regardless of the values of m and n, the HCF will always be mn as long as m and n are nonzero integers.