## What is the GCF of 6n 3 3n 5?

The GCF for the numerical part is 3 .

## What is the largest integer that will divide into 9x and 45?

Answer: GCF of 9 and 45 is 9. Explanation: The GCF of two non-zero integers, x(9) and y(45), is the greatest positive integer m(9) that divides both x(9) and y(45) without any remainder.

**How do you find the greatest common factor of a variable?**

Finding the Greatest Common Factor (GCF): To find the GCF of two expressions:

- Factor each coefficient into primes. Write all variables with exponents in expanded form.
- List all factors—matching common factors in a column.
- Bring down the common factors that all expressions share.
- Multiply the factors as in (Figure).

**How do you find the greatest common factor?**

To find the GCF of a set of numbers, list all the factors of each number. The greatest factor appearing on every list is the GCF. For example, to find the GCF of 6 and 15, first list all the factors of each number. Because 3 is the greatest factor that appears on both lists, 3 is the GCF of 6 and 15.

### How can a greatest common factor be separated from an expression?

Factoring A GCF From an Expression Lessons Finding a GCF. To factor out the GCF in an expression like the one above, first find the GCF of all of the expression’s terms. Next, divide each term from the original expression (3×3+27×2+9x ) by the GCF (3x), then write it in the parenthesis.

### What is the greatest common factor of 90 and 135?

45

There are 6 common factors of 90 and 135, that are 1, 3, 5, 9, 45, and 15. Therefore, the greatest common factor of 90 and 135 is 45.

**What is the greatest common factor of 36 and 63?**

9

Answer: GCF of 36 and 63 is 9.

**What is the greatest common factor 21 and 30?**

3

The GCF of 21 and 30 is 3. To calculate the greatest common factor of 21 and 30, we need to factor each number (factors of 21 = 1, 3, 7, 21; factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30) and choose the greatest factor that exactly divides both 21 and 30, i.e., 3.

#### What is greatest common factor used for?

The greatest common factor (GCF) is a term used to describe the biggest number that can divide evenly into two or more numbers. Sometimes, this is also referred to as the greatest common divisor (GCD) or highest common factor (HCF). A factor is a smaller number that can divide evenly into that number.

#### How to find a greatest common factor in a polynomial?

Factor the integers into their prime factors.

**How to calculate the greatest common factor?**

Factor each number completely into its prime numbers. A prime number is number greater than 1 that has no factors but itself.

**What is the greatest common factor of monomials?**

Write the prime factorization of the monomial 30x 2y 3 = 2 × 3 × 5 × x × x × y × y × y

## What jobs use factoring polynomials?

o Careers in computer science and mathematical applications depend on algebraic constructs. Consider work as an actuary, or a computer programmer or software engineer. Mathematicians, statisticians and engineers of all sciences employ the use of polynomials. Among engineering career options there are aerospace engineers, chemical engineers, civil