Practic Find the GCF of the mi \( \Delta 1.14,84 \)

To find the greatest common factor (GCF) of the numbers 1, 14, and 84, we can follow these steps: 1. **Find the prime factorization of each number:** - \( 1 \): The prime factorization is simply \( 1 \) (it has no prime factors). - \( 14 \): The prime factorization is \( 2 \times 7 \). - \( 84 \): The prime factorization is \( 2^2 \times 3 \times 7 \). 2. **List the prime factors:** - For \( 1 \): No prime factors. - For \( 14 \): \( 2, 7 \) - For \( 84 \): \( 2, 3, 7 \) 3. **Identify the common prime factors:** - The only common prime factor between \( 14 \) and \( 84 \) is \( 2 \) and \( 7 \). 4. **Determine the lowest power of each common prime factor:** - For \( 2 \): The lowest power is \( 2^1 \) (from \( 14 \)). - For \( 7 \): The lowest power is \( 7^1 \) (common in both). 5. **Multiply the common prime factors:** - GCF = \( 2^1 \times 7^1 = 2 \times 7 = 14 \). Thus, the GCF of \( 1, 14, \) and \( 84 \) is \( 14 \).