How do you find the GCF of #30s^4t^4# and #36s^3t^5#?

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Answer 1 · 2017-02-24T08:33:19

#GCF(30s^4t^4,36s^3t^5)=6s^3t^4#

#GCF(30s^4t^4,36s^3t^5)#

To find the GCF of the two terms find the GCF of each part of the
terms separately

#GCF(30,36)=6#

for the algebraic terms the GCF will be the smaller of the respective powers.

#GCF(s^4,s^3)=s^3#

#GCF(t^4,t^5)=t^4#

now put it all together

#GCF(30s^4t^4,36s^3t^5)=6s^3t^4#