4-2 GCF

Greatest Common Factor (GCF) -  The largest factor that is the same for a given  set of numbers

Two methods:1.) Listing Method or modified listing method

2.) Prime Factorization and chart method

Find the GCF of 40 and 140 using both methods.

 40:

 140:

 

Listing method

Prime Factorization Method

40 140

Find the GCF of 12r3 and 8r

Find the GCF of each set of monomials. Steps:  1.) Factor each monomial  2.) Set up the chart  3.) Multiply all common prime factors  

Find the GCF of 36abc and 30a2c

Find the GCF of 20x2 , 36xy, and 28xy2

Relatively Prime- two numbers are relatively prime if their    GCF is 1

Find the GCF of the numbers. Then tell whether the numbers are relatively prime.

a.) 18 and 33 b.) 39 and 50

Demonstrate Understanding: Find the GCF of each.

1.) 48 and 32 2.) 200, 72

3.) 25x2y , 30x3y2

Find the GCF and tell if the numbers are relatively prime.

4.) 49, 915.) 16, 25