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Question
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find the greatest common factor of these three expressions.
8w, 28w⁴, and 4w²
Step1: Find GCF of coefficients
List factors:
- Factors of 8: 1, 2, 4, 8
- Factors of 28: 1, 2, 4, 7, 14, 28
- Factors of 4: 1, 2, 4
Greatest common factor is 4.
Step2: Find GCF of variable terms
For $w^1$, $w^4$, $w^2$: the lowest exponent of $w$ is 1, so GCF is $w^1 = w$.
Step3: Multiply the two GCFs
Multiply the GCF of coefficients and GCF of variables.
$4 \times w = 4w$
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$4w$