Question

Find the greatest common factor: 20y^9 + 5y^6



5y^6

5y^9

10y^9

20y^3

Answer 1

what is the GCF (greatest common factor) of 20 and 5 ?

Answer 2

The factors of 20 are 1, 2, 4, 5, 10, 20.

Answer 3

the factors of 5 are 1, 5

Answer 4

so what are the common factors between 5 and 20 ?

Answer 5

10?

Answer 6

10 is NOT a factor of 5

Answer 7

15

Answer 8

it has to be a factor of 5 too

Answer 9

you might be thinking of multiples?

Answer 10

man idk

Answer 11

2

Answer 12

why not 5?

5 is a factor of 5
5 is a factor of 20

Answer 13

ohh

Answer 14

so the answer will either be 5y^6 or 5y^9 since 5 is the GCF of the coefficients

Answer 15

now we must find the GCF of y^9 and y^6

Answer 16

add exponets?

Answer 17

the GCF of the variable terms will be the term with the smaller exponent

since y^6 can be found in y^9

y^9 = y^6*y^3

Answer 18

so the GCF of y^9 and y^6 is going to be y^6

Answer 19

put it all together and the GCF of 20y^9 and 5y^6 is 5y^6

Answer 20

huh alright i understand