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Answer:
 6w²v⁶
Explanation:
Find the matching factors in each expression.
1st expression factors
 2·3^2·w^2·x^3·v^7
2nd expression factors
 2^3·3·w^8·v^6
Factors found in both expressions:
 2, 3, w, v
The GCF is the product of these to their lowest powers:
 2^1·3^1·w^2·v^6
The GCF is 6w²v⁶.