# How do you factor a problem using the GCF?

## How do you factor a problem using the GCF?

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.

**What is the GCF of 17 and 19 and 2?**

1

Answer: GCF of 17 and 19 is 1. Explanation: The GCF of two non-zero integers, x(17) and y(19), is the greatest positive integer m(1) that divides both x(17) and y(19) without any remainder.

**How do you find the GCF example?**

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.

### What is the GCF of 18 and 27?

9

The greatest common factor of 18 and 27 is 9.

**What is the GCF of 30 and 36?**

6

GCF of 30 and 36 by Listing Common Factors Therefore, the greatest common factor of 30 and 36 is 6.

**What is the greatest common factor of 45 42 and 24?**

So the Greatest Common Factor 45, 24, 42 is 3.

## What is the greatest common factor of 132 and the square root of 121 using prime factorization?

We found the factors and prime factorization of 121 and 132. The biggest common factor number is the GCF number. So the greatest common factor 121 and 132 is 11.

**What is the GCF of 2 and 6?**

2

Answer: GCF of 2 and 6 is 2.

**What is the greatest common factor of 45 15 and 42?**

Greatest Common Factor The biggest common factor number is the GCF number. So the Greatest Common Factor 45, 42, 15 is 3.

### How many factors does 75 have?

As the number 75 is a composite number, it has many factors other than one and the number itself. Thus, the factors of 75 are 1, 3, 5, 15, 25 and 75.

**What is the GCF of 32 40 and 72?**

As you can see from the lists above, the Greatest Common Factor (GCF) of 32, 40 and 72 is 8.