greatestcommonfactor

Find the GCF of:
greatestcommonfactor

List the factors for 1

Find constant GCF

GCF(1) = 1

Evaluate g

g is in each of the 1 monomials
Use the lowest exponent for g (1)
g¹

Evaluate r

r is in each of the 1 monomials
Use the lowest exponent for r (1,1)
r¹

Evaluate e

e is in each of the 1 monomials
Use the lowest exponent for e (1,1)
e¹

Evaluate a

a is in each of the 1 monomials
Use the lowest exponent for a (1,1)
a¹

Evaluate t

t is in each of the 1 monomials
Use the lowest exponent for t (1,1,1)
t¹

Evaluate s

s is in each of the 1 monomials
Use the lowest exponent for s (1)
s¹

Evaluate c

c is in each of the 1 monomials
Use the lowest exponent for c (1,1)
c¹

Evaluate o

o is in each of the 1 monomials
Use the lowest exponent for o (1,1,1)
o¹

Evaluate m

m is in each of the 1 monomials
Use the lowest exponent for m (1,1)
m¹

Evaluate n

n is in each of the 1 monomials
Use the lowest exponent for n (1)
n¹

Evaluate f

f is in each of the 1 monomials
Use the lowest exponent for f (1)
f¹

Build our final GCF:

What is the Answer?

1g¹r¹e¹a¹t¹s¹c¹o¹m¹n¹f¹

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

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

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