What are the Factors of 180?

Factors of 180 are . There are integers that are factors of 180. The greatest factor of 180 is 180.

What are the Factors of 182?

Factors of 182 are . There are integers that are factors of 182. The greatest factor of 182 is 182.

How to Find the GCF of 180 and 182?

Greatest Common Factor of 180 and 182 = 2 Step 1: Find the prime factorization of 180 180 = [1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180] Step 2: Find the prime factorization of 182 182 = [1, 2, 7, 13, 14, 26, 91, 182] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[2] = 2 Step 4: Therefore, the greatest common factor of 180 and 182 is 2.

What are the Factors of 180?

Factors of 180 are . There are integers that are factors of 180. The greatest factor of 180 is 180.

What are the Factors of 182?

Factors of 182 are . There are integers that are factors of 182. The greatest factor of 182 is 182.

How to Find the GCF of 180 and 182?

Greatest Common Factor of 180 and 182 = 2 Step 1: Find the prime factorization of 180 180 = [1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180] Step 2: Find the prime factorization of 182 182 = [1, 2, 7, 13, 14, 26, 91, 182] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[2] = 2 Step 4: Therefore, the greatest common factor of 180 and 182 is 2.

GCF of 180 and 182

Created By : Prasanna
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Want to know what the GCF of 180 and 182 is? We will not only show you the answer but will also teach you two different methods through which you can easily find the greatest common factor of 180 and 182. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 180, 182 using Factoring

In this method, we have to list the factors of 180 and 182 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 180 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 30 , 36 , 45 , 60 , 90 , and 180

The factors of 182 are 1 , 2 , 7 , 13 , 14 , 26 , 91 , and 182

As you can see from the aforementioned lists, the largest number that is present in both lists is 2. Therefore, we can determine that the GCF of 180 and 182 is 2.

Greatest Common Factor of 180, 182 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 180 and 182 with the same prime number and keep going until the numbers can no longer be divided by the same prime number. At that point, you must stop the process and multiply the prime numbers on the left side. The result will be the greatest common factor.

2	180, 182
	90, 91

From the picture, we can see that 90 and 91 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

2 = 2

Hence, the GCF of 180 and 182 is 2.

Find the GCF of 180 and 182

Given numbers are 180 and 182

To find the greatest common factor of 180 and 182

The GCF of 180 and 182 is 2.

FAQs on GCF of 180 and 182

1. What are the LCM and GCF of 180 and 182?

The LCM and GCF of 180 and 182 are 16380 and 2.

2. How to get the GCF of 180 and 182?

The GCF of 180 and 182 can be calculated by finding the factors of both numbers and identifying the highest common factor in both.

3. What are the Methods to Find GCF of 180, 182?

The 2 different methods to find the greatest common factor of 180 and 182 are prime factorization and factors of both numbers.