# How do you find the GCF using factor?

## How do you find the GCF using factor?

The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number. 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.

## How do you find the greatest common factor with variables and exponents?

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

1. Factor each coefficient into primes. Write all variables with exponents in expanded form.
2. List all factorsâ€”matching common factors in a column.
3. Bring down the common factors that all expressions share.
4. Multiply the factors as in (Figure).

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 16 40 and 48?

We found the factors of 48, 16, 40 . The biggest common factor number is the GCF number. So the Greatest Common Factor 48, 16, 40 is 8.

### What is the greatest common factor of 48 12 and 24?

12
But we can see that the highest common factor between all the three numbers i.e. 12, 24 and 48 is 12. Therefore, the answer is 12.

### What is the greatest common factor of 32 44 and 48?

The greatest common factor of 32, 44 and 48 is 4.

How do you combine common factors?

To summarize, when we factor an expression, we’re just finding the greatest common factors in each term. If we can factor both numbers and variables, we look for the factors of each, then combine them into a single term. To check your work, just distribute the term you factored out.

What is the greatest common factor of 40 18 and 44?

So the Greatest Common Factor 18, 44, 40 is 2.

## What is the greatest common factor 12 8 and 24?

2 Answers. The greatest common factor of these numbers is 4.

## What is the highest common factor of 32 48 and 72?

The biggest common factor number is the GCF number. So the Greatest Common Factor 72, 32, 48 is 8.

What is the first step to solve GCF?

Step 1: Group the first two terms together and then the last two terms together. Step 2: Factor out a GCF from each separate binomial. Step 3: Factor out the common binomial. Note that if we multiply our answer out, we do get the original polynomial.