# How do you factor the greatest common Monomial factor?

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To find the

**greatest common factor**(GCF) between monomials, take each**monomial**and write it's prime factorization. Then, identify the**factors common**to each**monomial**and multiply those**common factors**together. Bam! The GCF!

Then, how do you factor out the greatest common factor?

**To factor the GCF out of a polynomial, we do the following:**

- Find the GCF of all the terms in the polynomial.
- Express each term as a product of the GCF and another factor.
- Use the distributive property to factor out the GCF.

**To find the GCF of two numbers:**

- List the prime factors of each number.
- Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1.

Also Know, what are the examples of common Monomial factor?

When **factoring** a polynomial, the goal is that the GCF of all the terms is one **factor**. In 6x2 + 12x, 6x is the greatest **common factor**, so 6x2 + 12x = 6x(x + 2). Monomials such as 6x, and polynomials such as x + 2 that cannot be factored into polynomials of a lower degree, are called prime polynomials.

**Greatest common factor** (**GCF) of 28** and **48** is 4.