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 — Step 1: Subtract the given remainders from the respective numbers. If a number divides 290 leaving a remainder of 3, it must exactly divide 290 - 3. 290 - 3 = 287 If a number divides 538 leaving a remainder of 5, it must exactly divide 538 - 5. 538 - 5 = 533 Step 2: Find the prime factorization of the new numbers. 287 = 7 × 41 533 = 13 × 41 Step 3: Determine the greatest number by finding the Highest Common Factor (HCF) of 287 and 533. The HCF is the product of the common prime factors raised to the lowest power. The only common prime factor is 41. HCF(287, 533) = 41 The greatest number is 41. What's next?