Find the GCF of:

4x^2y^3, 12x^3y^6, 40x^4y^15z^3

##### List the factors for 4

1,2,4

##### List the factors for 12

1,2,3,4,6,12

##### List the factors for 40

1,2,4,5,8,10,20,40

##### Find constant GCF

GCF(4,12,40) = 4

##### Evaluate x

x is in __each__ of the 3 monomials

Use the lowest exponent for x (2,3,4)

x^{2}

##### Evaluate y

y is in __each__ of the 3 monomials

Use the lowest exponent for y (3,6,15)

y^{3}

##### Build our final GCF:

**4x**^{2}y^{3}

##### How does the Greatest Common Factors of Monomials Calculator work?

Free Greatest Common Factors of Monomials Calculator - This calculator will determine the Greatest Common Factors of a set of Monomials

This calculator has 1 input.

### What 2 formulas are used for the Greatest Common Factors of Monomials Calculator?

Calculate the GCF of variables with exponents and constants

Once you have the GCF, divide each term by the GCF and use the modified term

For more math formulas, check out our

Formula Dossier
### What 3 concepts are covered in the Greatest Common Factors of Monomials Calculator?

- greatest common factors of monomials
- Find the prime factorization of each monomial, including all the variables. Then take the product of all common factors.
- monomial
- a polynomial which has only one term. Constants and variables are monomials as well as one term polynomials
- power
- how many times to use the number in a multiplication

##### Example calculations for the Greatest Common Factors of Monomials Calculator

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