Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).
Students will learn how to find the GCD of whole number arguments \(\le 100\) and the LCM of whole number arguments \(\le 12.\) Students will first find the GCD and LCM of numbers by listing factors and multiples, then by prime factorization. After that, students will solve word problems involving the GCD and LCM. Here are two example word problems. Students will also learn how to factor the common factor out of a pair of numbers. For example, 36 + 8 = 4(9 + 2).