Greatest Common Factors

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Presentation transcript:

Greatest Common Factors

Greatest Common Factor (GCF): of two or more integers is the greatest number that is a factor of all of the integers. a.k.a: the largest # that will divide out of the numbers evenly.

What is the GCF of the following: 16 and 24 42 and 56 -Factors of 16: -Factors of 24: -Factors of 42: -Factors of 56:

To find on your calculator:

Find the GCF of each set of monomials. 3. 42 and 56 4. 20 and 60 5. 8 and 18 26 and 25 -5 and 15 14 20 2 1 5

Remember the GCF has to be the same thing taken out of both pieces! What if you had variables?? Remember the GCF has to be the same thing taken out of both pieces! Find the GCF of: x3 and x5 x2y2 and xy4 xxx xxxxx GCF: x3 xxyy xyyyy GCF: xy2

When variables are involved… Pull out the variables they SHARE. 36x2y and 54xy2 9. 45x3y and 9x2 10. 63x4yz and 48x2y 18xy 9x2 3x2y

When variables are involved… Pull out the variables they SHARE. 11. 24x4y2 and 18xy2 12. 100xy and 55x2y2 13. 75x4yz and 15x2yz 6xy2 5xy 15x2yz

When variables are involved… Pull out the variables they SHARE. 14. 12xy2z and 30xz 15. 17x and 30xy2 16. 18x4 and 15yz 6xz x 3