Find the greatest common factor of these three expressions.18w2, 12w4, and 42w
Question
Find the greatest common factor of these three expressions.18w2, 12w4, and 42w
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Solution
Step 1: Identify the numerical coefficients of each term. They are 18, 12, and 42.
Step 2: Find the greatest common factor (GCF) of these numbers. The GCF of 18, 12, and 42 is 6.
Step 3: Identify the variable parts of each term. They are w^2, w^4, and w.
Step 4: The GCF of the variable parts is determined by the term with the lowest exponent. In this case, it's w (which is the same as w^1).
Step 5: Combine the GCF of the numerical coefficients and the variable parts.
So, the GCF of 18w^2, 12w^4, and 42w is 6w.
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