Find the GCF (greatest common factor) of the following terms. \( \{21,85,22\} \)
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The Deep Dive
To find the GCF of the numbers 21, 85, and 22, we begin by determining their prime factorizations. - The prime factorization of 21 is \(3 \times 7\). - The prime factorization of 85 is \(5 \times 17\). - The prime factorization of 22 is \(2 \times 11\). Since there are no common prime factors among all three numbers, it turns out that the GCF is 1. Now, let’s think about how this concept can apply in everyday situations! Whether you’re dividing up slices of pizza among friends or splitting a bill at a restaurant, understanding the GCF can help you evenly distribute items and avoid unnecessary leftovers. Also, for those who love getting the most out of their math skills, practicing GCF problems can improve your number sense and boost your problem-solving abilities. There are plenty of online resources, quizzes, and interactive games to make learning about divisors and multiples fun!
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