Final answer:To factor the expression using the GCF of 69 and 84, find the largest common factor, which is 3, and express the original expression as the product of the GCF and the sum of the divided terms: 3(23 + 28).Explanation:The question requires the Greatest Common Factor (GCF) to factor the expression 69 + 84. Factoring an expression using the GCF means finding the largest number that divides both terms. To find the GCF of 69 and 84, list the factors of each:Factors of 69: 1, 3, 23, 69Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84Now, identify the largest factor that appears in both lists, which is3. Therefore, we can factor out the GCF of 3 from the expression:3(23 + 28)Now the expression is factored as a product of the GCF and a simplified sum....

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