# What is a quick way to determine the GCF of variables?

## What is a quick way to determine the GCF of variables?

Here’s how to find the GCF of a set of numbers using prime factorization:

- List the prime factors of each number.
- Circle every common prime factor — that is, every prime factor that’s a factor of every number in the set.
- Multiply all the circled numbers. The result is the GCF.

## How do you find the GCF of monomials with variables?

To find the greatest common factor of two monomials, first find the prime factorization of each monomial, including all the variables (and a – 1 factor if necessary). Then take the product of all common factors. First, find the prime factorization of each monomial. So, the GCF is 3p2r3 .

**How do you solve for LCM with variables?**

To find the least common multiple (LCM) of a set of monomials, find the LCM of the constants and the LCM of each of the variables. After finding these, multiply them all together to get the LCM of the set of monomials.

**What is the variable factor in a monomial?**

What is Monomial?

The variables are the letters present in a monomial. | Variables: x, y |
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The degree is the sum of the exponents of the variables in a monomial. The exponent of x is 1, and the exponent of y is 2, so the degree is 2 + 1 = 3. | Degree: 3 |

### What is the GCF of X² and x9?

The common factors for the variables x2,x9 x 2 , x 9 are x⋅x x ⋅ x . The GCF for the variable part is x2 .

### How do you find the GCF of x2 and x9?

List all the factors for x2,x9 x 2 , x 9 to find the common factors. The common factors for the variables x2,x9 x 2 , x 9 are x⋅x x ⋅ x . The GCF for the variable part is x2 . Multiply the GCF of the numerical part 1 and the GCF of the variable part x2 .

**How do you find the greatest common multiple of three numbers?**

To find the greatest common factor (GCF) between numbers, take each number and write its prime factorization. Then, identify the factors common to each number and multiply those common factors together. Bam! The GCF!

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