1, 2, 3, 4, 6, 8, 12, 16, 24, 48ALTHOUGH A FEW NUMBERS APPEAR IN BOTH...

48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48Although a few numbers appear in both lists, the largest number that appears in both lists is 6; there-fore, 6 is the greatest common factor of 18 and 48.You can also use prime factoring to find the GCF by listing the prime factors of each number and mul-tiplying the common prime factors together:The prime factors of 18 are 2×3×3.The prime factors of 48 are 2×2×2×2×3.They both have at least one factor of 2 and one factor of 3. Thus, the GCF is 2×3 = 6.MultiplesOne number is a multiple of another if it is the result of multiplying one number by a positive integer. Forexample, multiples of three are generated as follows: 3×1 = 3, 3×2 = 6, 3×3 = 9, 3×4 = 12, . . . There-fore, multiples of three can be listed as {3, 6, 9, 12, 15, 18, 21, . . . }Least Common Multiple (LCM)The least common multiple (LCM) of two numbers is the smallest number that both numbers divide intowithout a remainder. The LCM is used when finding a common denominator when adding or subtractingfractions. To find the LCM of two numbers such as 6 and 15, list the multiples of each number until a com-mon number is found in both lists.