Question

Find the greatest common factor of the following monomials: u3v6 u6v2​

Answer 1

1 2 3 1

Explanation:

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!

Answer 2

The GCF is
`u^3v^2`

Explanation:

The given monomials are:

`u^3v^6`

and

`u^6v^2`

The greatest common factor is the product of the least powers of the common factors.

The least of the powers of the common factors are:

`u^3` and
`v^2`.

Their product is
`u^3v^2`

Therefore the Greatest Common Factors is
`u^3v^2`