A project manager is using prime factorization to organize resources represented by the algebraic expressions ${}25m^4$, ${}35m^3$, and ${}20m^2$. Arrange the following steps in the correct sequence to find their Greatest Common Factor (GCF) as described in the prime factorization method.

A supply chain manager is standardizing the batch sizes for three product lines, which are modeled by the algebraic expressions ${}25m^4$, ${}35m^3$, and ${}20m^2$. Using the prime factorization method to find the greatest common factor (GCF) of these models, which of the following correctly identifies the shared factors that must be collected from all three expressions?

A production engineer is analyzing the output rates of three different manufacturing lines, which are modeled by the algebraic expressions ${}25m^4$, ${}35m^3$, and ${}20m^2$. To optimize the system, the engineer must identify the components of the Greatest Common Factor (GCF) shared by these rates. Match each description with its correct value based on the prime factorization method.

A logistics coordinator is standardizing three inventory groupings modeled by the algebraic expressions ${}25m^4$, ${}35m^3$, and ${}20m^2$. The coordinator determines that the Greatest Common Factor (GCF) for these three groupings is ${}5m^2$. Is this determination correct?

An inventory manager is organizing three different equipment categories represented by the algebraic expressions ${}25m^4$, ${}35m^3$, and ${}20m^2$. To simplify the inventory system, the manager must identify the Greatest Common Factor (GCF) shared by all three expressions. The GCF of ${}25m^4$, ${}35m^3$, and ${}20m^2$ is ____.