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4) jacob is making bouquets. he has 18 tulips and 12 carnations. he wan…

Question

  1. jacob is making bouquets. he has 18 tulips and 12 carnations. he wants to divide the flowers evenly to make the greatest number of identical bouquets, with no leftover flowers. how many bouquets can he make?

Explanation:

Step1: Find factors of 18

The factors of 18 are \(1, 2, 3, 6, 9, 18\).

Step2: Find factors of 12

The factors of 12 are \(1, 2, 3, 4, 6, 12\).

Step3: Identify GCF

The greatest common factor (GCF) of 18 and 12 is 6. This is the largest number that divides both 18 and 12 without a remainder. So, the greatest number of identical bouquets Jacob can make is equal to the GCF of 18 and 12.

Answer:

6