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 — here's how to find the GCF of 40 and 120. Step 1: Find the prime factorization of 40. 40 = 2 × 20 = 2 × 2 × 10 = 2 × 2 × 2 × 5 = 2^3 × 5^1 Step 2: Find the prime factorization of 120. 120 = 2 × 60 = 2 × 2 × 30 = 2 × 2 × 2 × 15 = 2 × 2 × 2 × 3 × 5 = 2^3 × 3^1 × 5^1 Step 3: Identify the common prime factors and their lowest powers. Both numbers share the prime factors 2 and 5. The lowest power of 2 common to both is 2^3. The lowest power of 5 common to both is 5^1. The prime factor 3 is not common to both. Step 4: Multiply the common prime factors with their lowest powers. GCF(40, 120) = 2^3 × 5^1 = 8 × 5 = 40 The GCF of 40 and 120 is: 40 Drop the next question 📸