What are the Factors of 356?

Factors of 356 are . There are integers that are factors of 356. The greatest factor of 356 is 356.

What are the Factors of 362?

Factors of 362 are . There are integers that are factors of 362. The greatest factor of 362 is 362.

How to Find the GCF of 356 and 362?

Greatest Common Factor of 356 and 362 = 2 Step 1: Find the prime factorization of 356 356 = [1, 2, 4, 89, 178, 356] Step 2: Find the prime factorization of 362 362 = [1, 2, 181, 362] 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 356 and 362 is 2.

What are the Factors of 356?

Factors of 356 are . There are integers that are factors of 356. The greatest factor of 356 is 356.

What are the Factors of 362?

Factors of 362 are . There are integers that are factors of 362. The greatest factor of 362 is 362.

How to Find the GCF of 356 and 362?

Greatest Common Factor of 356 and 362 = 2 Step 1: Find the prime factorization of 356 356 = [1, 2, 4, 89, 178, 356] Step 2: Find the prime factorization of 362 362 = [1, 2, 181, 362] 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 356 and 362 is 2.

GCF of 356 and 362

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

Want to know what the GCF of 356 and 362 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 356 and 362. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 356, 362 using Factoring

In this method, we have to list the factors of 356 and 362 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 356 are 1 , 2 , 4 , 89 , 178 , and 356

The factors of 362 are 1 , 2 , 181 , and 362

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 356 and 362 is 2.

Greatest Common Factor of 356, 362 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 356 and 362 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	356, 362
	178, 181

From the picture, we can see that 178 and 181 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 356 and 362 is 2.

Find the GCF of 356 and 362

Given numbers are 356 and 362

To find the greatest common factor of 356 and 362

The GCF of 356 and 362 is 2.

FAQs on GCF of 356 and 362

1. What are the LCM and GCF of 356 and 362?

The LCM and GCF of 356 and 362 are 64436 and 2.

2. How to get the GCF of 356 and 362?

The GCF of 356 and 362 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 356, 362?

The 2 different methods to find the greatest common factor of 356 and 362 are prime factorization and factors of both numbers.