This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — To find the greatest common factor (GCF) of two numbers, we can use their prime factorization. Step 1: Find the prime factorization of 105. 105 = 3 × 35 = 3 × 5 × 7 Step 2: Find the prime factorization of 175. 175 = 5 × 35 = 5 × 5 × 7 = 5^2 × 7 Step 3: Identify the common prime factors and their lowest powers. The common prime factors are 5 and 7. The lowest power of 5 is 5^1. The lowest power of 7 is 7^1. Step 4: Multiply the common prime factors raised to their lowest powers to find the GCF. GCF = 5 × 7 = 35 The GCF is 35. What's next? 🚀