Questions: Find the greatest common factor of these 12 y^6 u^4 w^2 and 28 y^8 u^3

Find the greatest common factor of these 12 y^6 u^4 w^2 and 28 y^8 u^3
Transcript text: Find the greatest common factor of these \[ 12 y^{6} u^{4} w^{2} \text { and } 28 y^{8} u^{3} \]
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Solution

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Solution Steps

Step 1: Find the GCF of the coefficients

The GCF of 12 and 28 is 4.

Step 2: Determine the minimum exponent for each variable

For variable y, the minimum exponent between 6 and 8 is 6. For variable u, the minimum exponent between 4 and 3 is 3. For variable w, the minimum exponent between 2 and 0 is 0.

Step 3: Construct the GCF expression

The GCF expression is: 4 * y^6 * u^3.

Final Answer:

The greatest common factor of the given expressions is: 4 * y^6 * u^3.

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