Final answer:
The expression 24y + 88x is factored by finding the Greatest Common Factor (GCF), which is 8. The final factored form of the expression is 8(3y + 11x).
Step-by-step explanation:
To factor the expression 24y + 88x using the Greatest Common Factor (GCF), we need to identify the largest number that divides both coefficients of the terms.
First, we list the factors of the two coefficients: the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24; the factors of 88 are 1, 2, 4, 8, 11, 22, 44, and 88. The common factors are 1, 2, 4, and 8, but the greatest of these is 8. Thus, the GCF of 24 and 88 is 8.
Now, we can factor out the GCF from the expression:
24y + 88x = 8(3y + 11x)
After factoring out the 8, we are left with the terms 3y and 11x inside the parentheses. This gives us the final factored form of the expression, which is 8(3y + 11x).