##### Enter Monomials

Find the GCF of:

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

1,2,4

1,2,3,4,6,12

##### List the factors for 40

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

GCF(4,12,40) = 4

##### Evaluate x

x is in each of the 3 monomials

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

x2

##### Evaluate y

y is in each of the 3 monomials

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

y3

4x2y3

4x2y3
##### 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