Greatest Common Factor

Vocabulary Product Product – An answer to a multiplication problem. 7 x 8 = 56 Product

Vocabulary Factor – a number that is multiplied by another to give a product. 7 x 8 = 56 Factors

Vocabulary Factor – a number that divides evenly into another. 56 ÷ 8 = 7 Factor

What are the factors? 6 x 7 = 42 6 & 7 7 x 9 = 63 7 & 9 8 x 6 = 48 8 & 6 4 & 9 4 x 9 = 36

7 Vocabulary 7 is prime because the only numbers Prime Number – a number that has only two factors, itself and 1. 7 7 is prime because the only numbers that will divide into it evenly are 1 and 7.

Examples of Prime Numbers 2, 3, 5, 7, 11, 13, 17, 19 Special Note: One is not a prime number.

8 Vocabulary The factors of 8 are 1, 2, 4, 8 Composite number – a number that has more than two factors. 8 The factors of 8 are 1, 2, 4, 8

Examples of Composite Numbers 4, 6, 8, 9, 10, 12, 14, 15 Special Note: Every whole number from 2 on is either composite or prime.

Our Lonely 1 One is not a prime nor a composite number. It is not prime because it does not have exactly two different factors. It is not composite because it does not have more than 2 factors. Special Note: One is not a prime nor a composite number.

How to Find The Factors of a Number

Find all possible numbers that you can multiply together to get 12 Factors of 12 Find all possible numbers that you can multiply together to get 12 1 x 12 3 x 4 2 x 6 So, the factors of 12 are: 1, 2, 3, 4, 6, 12

Find all possible numbers that you can multiply together to get 24 Factors of 24 Find all possible numbers that you can multiply together to get 24 1 x 24 2 x 12 3 x 8 4 x 6 So, the factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

Find all possible numbers that you can multiply together to get 36 Factors of 36 Find all possible numbers that you can multiply together to get 36 1 x 36 2 x 18 3 x 12 4 x 9 6 x 6 So, the factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

How to Find the Greatest Common Factor (GCF) of 2 Numbers

Biggest, largest, highest Greatest Common Same number Numbers that you multiply to get the product Factor

Find the GCF of 12 and 24 12: 1, 2, 3, 4, 6, 12 24: 1, 2, 3, 4, 6, 8, 12, 24 GCF of 12 and 24 is 12

Find the GCF of 24 and 36 24: 1, 2, 3, 4, 6, 8, 12, 24 36: 1, 2, 3, 4, 6, 9, 12, 18,36 GCF of 24 and 36 is 12

Find the GCF of 12 and 16 12: 1, 2, 3, 4, 6, 12 16: 1, 2, 4, 8, 16 GCF of 12 and 16 is 4