Question

Determine the greatest common factor of the following:
4x2y2, 3xy4, 2xy2

Answer 1

xy^2

Answer 2

xy^2

Answer 3

4x²y² , 3xy^4 , 2xy²

Each has x and y² as common factor

so xy² is the GCF

Answer 4

4x^(2)y^(2),3xy^(4),2xy^(2)

Factor out the GCF of xy^(2) from the expression 4x^(2)y^(2).
xy^(2)(4x)+3xy^(4)+2xy^(2)

Factor out the GCF of xy^(2) from the expression 3xy^(4).
xy^(2)(4x)+xy^(2)(3y^(2))+2xy^(2)

Factor out the GCF of xy^(2) from the expression 2xy^(2).
xy^(2)(4x)+xy^(2)(3y^(2))+xy^(2)(2)

Factor out the GCF of xy^(2) from 4x^(2)y^(2)+3xy^(4)+2xy^(2).
xy^(2)(4x+3y^(2)+2)

The GCF (Greatest Common Factor) is the term in front of the factored expression.
xy^(2)