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The GCF of 24ab^2c and 18a^3b is 6ab. To factor out the GCF, we divide each term by 6ab:
24ab^2c ÷ 6ab = 4bc
18a^3b ÷ 6ab = 3a^2
Therefore, the expression can be rewritten as:
6ab(4bc + 3a^2)