Kendrick is creating sewing kits for local high school students who are heading off to college. He has 18 needles and 36 spools of thread, which he wants to divide evenly, with no materials left over. What is the greatest number of sewing kits Kendrick can make?
Question
Kendrick is creating sewing kits for local high school students who are heading off to college. He has 18 needles and 36 spools of thread, which he wants to divide evenly, with no materials left over. What is the greatest number of sewing kits Kendrick can make?
Solution
To solve this problem, we need to find the greatest common divisor (GCD) of the number of needles (18) and the number of spools of thread (36). The GCD is the largest number that can divide both numbers without leaving a remainder.
Step 1: List the factors of each number.
Factors of 18: 1, 2, 3, 6, 9, 18 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Step 2: Identify the common factors.
The common factors of 18 and 36 are: 1, 2, 3, 6, 9, 18
Step 3: The greatest common factor is 18.
Therefore, the greatest number of sewing kits Kendrick can make is 18.
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