1Cademy - Finding the GCF of $$25m^4$$, $$35m^3$$, and $$20m^2$$

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Finding the Greatest Common Factor (GCF) of Two or More Expressions

Example

Finding the GCF of $25m^4$ , $35m^3$ , and $20m^2$

To find the greatest common factor of $25m^4$ , $35m^3$ , and $20m^2$ , apply the prime factorization method to both the coefficients and the variables.

Step 1 — Factor coefficients and expand variables: Write $25m^4 = 5 \cdot 5 \cdot m \cdot m \cdot m \cdot m$ , $35m^3 = 5 \cdot 7 \cdot m \cdot m \cdot m$ , and $20m^2 = 2 \cdot 2 \cdot 5 \cdot m \cdot m$ .