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15. GCF and LCM. Factors. Factor: One integer is a factor of another nonzero integer if it divides that integer with remainder zero. Example: 2 is a factor of 8. Prime and Composite. Prime Number: an integer greater than 1 with exactly two positive factors, 1 and the number itself.

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Factors
Factors

Factor: One integer is a factor of another nonzero integer if it divides that integer with remainder zero.

Example: 2 is a factor of 8.


Prime and composite
Prime and Composite

Prime Number: an integer greater than 1 with exactly two positive factors, 1 and the number itself.

Examples: 2, 3, 5, 7, 11, ….

Composite number: an integer greater than 1 with more than two positive factors.

Examples: 4, 6, 8, 9, ….


Prime factorization
Prime Factorization

Prime Factorization: writing a composite number as a product of its prime factors.

Example: 12

4 3

2 2

12 = 2 * 2 * 3


Greatest common factor gcf
Greatest Common Factor (GCF)

Common Factors: Factors that are the same for two or more numbers or expressions.

Greatest Common Factor (GCF): the greatest of these common factors.

Examples: 40 and 60 GCF = 20


Least common multiple lcm
Least Common Multiple (LCM)

Multiple: the product of that number and any nonzero whole number.

Examples: Multiples of 2: 2, 4, 6, ….

Least Common Multiple: The smallest multiple in common.

Example: 12, 24, and 36 are common multiples of 4 and 6, but 12 is the LCM.


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