# How do you find the greatest factor?

## How do you find the greatest factor?

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

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

### How do you find the factors of 96?

Factors of 96

1. Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.
2. Prime Factorization of 96: 2 × 2 × 2 × 2 × 2 × 3 = 25 × 3.

#### What is the greatest common factor of 96 and 97?

As you can see when you list out the factors of each number, 1 is the greatest number that 96 and 97 divides into.

How do you find the greatest common factor of two numbers?

The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common.

What is an example of greatest common factor?

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. GCF is often used to find common denominators.

## What are multiples of 96?

Multiples of 96: 96, 192, 288, 384, 480, 576, 672, 768, 864, 960 and so on.

### What is the highest common factor of 60 and 96?

12
Example 1: Find the GCF of 60 and 96, if their LCM is 480. Therefore, the greatest common factor of 60 and 96 is 12.

#### What is the highest common factor of 12 and 30?

6
GCF of 12 and 30 by Listing Common Factors There are 4 common factors of 12 and 30, that are 1, 2, 3, and 6. Therefore, the greatest common factor of 12 and 30 is 6.

What is the greatest common factor of 144?

A Summary. Factor pairs: 144 = 1 x 144, 3 x 48, 2 x 72, 4 x 36, 8 x 18, 6 x 24, 9 x 16, 12 x 12. Factors of 144: 1, 4, 2, 3, 6, 8, 16, 9, 12, 18, 24, 36, 48, 72, 144.

How do you find the greatest common divisor?

The steps to calculate the GCD of (a, b) using the LCM method is:

1. Step 1: Find the product of a and b.
2. Step 2: Find the least common multiple (LCM) of a and b.
3. Step 3: Divide the values obtained in Step 1 and Step 2.
4. Step 4: The obtained value after division is the greatest common divisor of (a, b).

## How do you find the greatest common factor of x2 and x9?

The GCF for the numerical part is 1 . The factors for x2 are x⋅x x ⋅ x . The factors for x9 are x⋅x⋅x⋅x⋅x⋅x⋅x⋅x⋅x x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x ….Steps to find the GCF for x2,x9 x 2 , x 9 :

1. Find the GCF for the numerical part 1,1.
2. Find the GCF for the variable part x2,x9.
3. Multiply the values together.

### What is the greatest common factor of 96 and 48 and 84?

The gcf of 84 and 96 can be obtained like this: The factors of 84 are 84, 42, 28, 21, 14, 12, 7, 6, 4, 3, 2, 1. The factors of 96 are 96, 48, 32, 24, 16, 12, 8, 6, 4, 3, 2, 1. The common factors of 84 and 96 are 12, 6, 4, 3, 2, 1, intersecting the two sets above.

#### How do you calculate the greatest common factor?

To find the greatest common factor (GCF) between numbers, take each number and write it’s prime factorization. Then, identify the factors common to each number and multiply those common factors together.

What are the greatest common multiples of 96?

Answer: Factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. There are 12 integers that are factors of 96. The greatest factor of 96 is 96. 3. What are the Factors of 108?

How do you factor out the greatest common factor?

Pick out any prime numbers between the set that are the same. There can be several common factors. Calculate: If there’s only one prime common factor, then that’s your common factor. If there are multiple prime common factors, then multiply all the prime common factors together to get your greatest common factor.