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COMMON FACTORS Factor: 2 numbers multiplied together to produce another number (EX: 6 x 2 = 12) 6 & 2 are the factors of 12 Common Factors: Factors that are the same for 2 or MORE numbers Multiple: The products of one factor (times tables) (EX: 3X’s table: 3, 6, 9, 12, 15, 18, 21, 24, 27 ) GREATEST COMMON the GREATEST (largest) number (factor) for both numbers FACTOR: (GCF) Least Common SMALLEST positive number that is a multiple of two or more numbers Multiple: (LCM) PRIME FRACTOR: a whole number that is greater than 1 and only has 2 factors 1 & itself Here are the first 10 prime numbers 2 3 5 7 11 13 17 19 23 29 These numbers can only be divided by 1 or itself HOW TO FIND COMMON FACTORS OF 2 NUMBERS 12: What are the factors of both 12 & 40 1, 2, 3, 4, 12 40: 1, 2, 4, 5, 8, 10, 20, 40 1, 2, 4, STEPS: *List the factors of the first number *List the factors of the second number *List the COMMON factors that are in BOTH lists SO……the COMMON FACTORS of 12 & 40 are: 1,2,4 FACTOR TREES (SHORT CUT) TO FIND PRIME FACTOR: FACTOR TREES TO FIND GCF & LCM: 60 6 2 ● 3 ● 45 10 9 2 ● 5 3●3 60 = 2 ● 2 ● 3 ● 5 NONE of these numbers can be divided by anything by 1 or itself 20 ● 5 5 ● 4 2●2 GCF: 5 LCM: 180 45 3 3 common 20 5 2 2 GREATEST COMMON FACTOR: (GCF) REMEMBER: the GREATEST (largest) number (factor) for both numbers Factors are the numbers multiplied together to get another number STEPS: 24: What is the GCF of both 24 & 60 1, 2, 3, 4, 6, 8, 12, 24 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 *List the factors of the second number 1, 2, 3, 4, 6, 12 *List the factors of the first number *List the COMMON factors that are in BOTH lists *ID the LARGEST common numbers SO……the GREATEST COMMON FACTOR of 24 & 60 : Is 12