# What does apply the distributive property to factor out the greatest common factor mean?

## What does apply the distributive property to factor out the greatest common factor mean?

The Distributive Property applies multiplication to an existing addition statement. It means that a number outside the parentheses of an addition problem can be multiplied by each number inside the parentheses. Or in the opposite case, a common factor can be factored out and written outside the parentheses.

**What is the distributive property of 30 75?**

A way to see distributive property is applying common factor. In this case we have that 30 and 75 are multiples of 15, so we can factor 15 as follows: 15 as a factor of the expression and within parentheses the division of numbers by our common factor. 30+75 = 15(2+5).

**How can you use the distributive property to check your work when factoring?**

FYI… you can check your work by using the distributive property to multiply. If the factor are correct, you should get the original binomial back again after the multiplication is done.

### What is the distributive property of 35 14?

1 Expert Answer By factoring out 7, the expression 35+14 = 7(5 + 2) and so you have an alternative way of computing the sum. 49 = 7(7).

**How do you use the distributive property to express 24 40?**

Answer Expert Verified Given that 24/2 = 12 and 40/2 = 20, you can write: 24 + 40 = 2 (12 + 20). The distributive property applied to 2 (12 + 20) is: 2* 12 + 2*20 = 24 + 40.

**What is the distributive property to express 24 36?**

24 + 36 = 60 You can use the Gold Digger for the distributive property! * Factor as if you want to find the Greatest Common Factor.

#### What is the GCF of 60 and 24?

What is the Greatest Common Factor of 24 and 60? Greatest common factor (GCF) of 24 and 60 is 12. We will now calculate the prime factors of 24 and 60, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24 and 60.

**What is the GCF and distributive property of 14 21?**

What is the GCF of 14 and 21? Answer: GCF of 14 and 21 is 7.

**What is the GCF and distributive property of 21 77?**

What is the GCF of 21 and 77? The GCF of 21 and 77 is 7.

## What is the GCF of 121 and 77?

11

**What is the GCF of 12 and 27?**

We found the factors and prime factorization of 12 and 27. The biggest common factor number is the GCF number. So the greatest common factor 12 and 27 is 3.

**What are the factors of 21 and 77?**

Factors for 21: 1, 3, 7, and 21. Factors for 77: 1, 7, 11, and 77.

### What are the factors of 77?

Factors of 77

- Factors of 77: 1, 7, 11 and 77.
- Prime Factorization of 77: 77 = 7 × 11.

**What is the LCM of 21 and 77?**

231

**What’s the GCF of 2 and 8?**

What is the Greatest Common Factor of 2 and 8? Greatest common factor (GCF) of 2 and 8 is 2.

#### What is the GCF of 5×2 10x?

The GCF for the numerical part is 5 .

**What is the GCF of 2 and 9?**

What is the Greatest Common Factor of 2 and 9? Greatest common factor (GCF) of 2 and 9 is 1.

**What is the GCF of 24 and 54?**

6

## What is the GCF of 7x 7?

Therefore, the factor of 7x – 7 is 7 and x – 1.

**What is the GCF of 20 and 50?**

The biggest common factor number is the GCF number. So the greatest common factor 20 and 50 is 10.

**How do you solve GCF?**

To find the GCF of two numbers:

- List the prime factors of each number.
- Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1.

### What is 2×6 12×4 Complete Factor?

2 is the complete factor.

**What are the complete factor of 2x 6?**

Step-by-step explanation: 2x^6 – 12x^4, the factor would be (2x^4)(x^2 – 6).

**What are the complete factors of 2x⁶ 12x⁴?**

Solution. Their greatest common factor (GCF) is 2x^4 (2 • x • x • x • x) and the remaining factor of each term is x^2 and 6. Therefore, the factor is 2x^4 and x^2-6.

#### How do you use the distributive property to write an equivalent expression?

For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

**What is GCF and distributive property?**

(Distributive property.) GCF & LCM. Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. The following diagram shows how to use the GCF and Distributive Property to find the sum of two numbers.

**What is the GCF and distributive property of 22 33?**

Greatest common factor (GCF) of 22 and 33 is 11.

## What is the GCF of 26 and 65?

13

**What is the GCF of 27 and 33?**

We found the factors and prime factorization of 27 and 33. The biggest common factor number is the GCF number. So the greatest common factor 27 and 33 is 3.

**What is the GCF of 7 and 33?**

1

### What is the HCF of 27 and 63?

9

**What is the GCF of 3 and 9?**

Greatest common factor (GCF) of 3 and 9 is 3.

**What are the multiples of 36 and 54?**

The LCM of 36 and 54 is 108.

#### What are the common factors of 56 and 36?

Greatest common factor (GCF) of 36 and 56 is 4.

**What is the GCF of 30 and 54?**

**What is the GCF of 55 and 66?**

We found the factors and prime factorization of 55 and 66. The biggest common factor number is the GCF number. So the greatest common factor 55 and 66 is 11.

## What is the GCF of 63 and 15?

What is the GCF of 63 and 15? The GCF of 63 and 15 is 3.

**What is the GCF of 63 72?**

What is the Greatest Common Factor of 63 and 72? Greatest common factor (GCF) of 63 and 72 is 9. We will now calculate the prime factors of 63 and 72, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63 and 72.

**What is the GCF of 36 and 48?**

12

### What is the GCF of 60 and 90?

30

**What is the HCF of 80 and 60?**

We found the factors and prime factorization of 60 and 80. The biggest common factor number is the GCF number. So the greatest common factor 60 and 80 is 20.

**What is the HCF of 60 and 95?**

gcf, hcf, gcd (60; 95) = 5: greatest (highest) common factor (divisor), calculated.

#### What is the GCF of 35 and 21?

7

**What is the HCF of 32 and 48?**

16