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find the greatest common factor. $4m^2$, $2m^2$ write your answer as a …

Question

find the greatest common factor.
$4m^2$, $2m^2$
write your answer as a constant times a product of single variables raised to exponents.

Explanation:

Step1: Analyze coefficients

Find GCF of 4 and 2. Factors of 4: 1,2,4; Factors of 2:1,2. GCF is 2.

Step2: Analyze variables

For \( m^2 \) in both terms, the lowest power is \( m^2 \).

Step3: Combine

Greatest common factor is \( 2 \times m^2 = 2m^2 \).

Answer:

\( 2m^2 \)