Find the GCF of monomials to factorize an expression with monomials Algebra I

Find the greatest common factor of the monomials in order to factorize the given expressions.

f\left(x\right)=6x^5+3x^4-3x^2

3x^2\left(2x^5+x^2+1\right)

x\left(6x^4+3x^3-3x\right)

3x^2\left(2x^3+x^2-1\right)

x^2\left(5x^3-3x^2-3\right)

2x^3y^2+6xy^3+ 4x^4y^4

2xy^2\left(x^2+3y+ 2x^3y^2\right)

2xy\left(x^2+3y^2+ 2x^3y^2\right)

2x^2y\left(x+3y^2+ 2x^2y^2\right)

2x^2y^2\left(x+3y+ 2x^3y^2\right)

f\left(x\right)=8x^7+4x^5

2x^5\left(4x^2+1\right)

4x^5\left(2x^2+1\right)

4x^5\left(4x^2+1\right)

2x^5\left(8x^2+4\right)

x^3y + xy^4+xy

xy\left(x+y^2+1\right)

y\left(x^3+y^3+1\right)

xy^2\left(x^2+y^2+1\right)

xy\left(x^2+y^3+1\right)

4x^3-8xy

4x\left(x^2-2y\right)

4xy\left(x^2-2\right)

2xy\left(2x^2-y\right)

8x\left(x^2-y\right)

x^2yz -y^4z +yz

xyz \left(x -y ^2 + 1\right)

xyz \left(x -y ^ 2 + 1\right)

yz \left(x ^ 2-y ^ 3 + 1\right)

yz \left(x -y ^ 3 + 1\right)

2xy^2+ 3xy-5x^2y

2xy\left(y+3-5y\right)

x\left(2y+3y-5y^2\right)

xy\left(2y+3x-5\right)

xy\left(2y+3-5y\right)