What are the Factors of 349?

Factors of 349 are . There are integers that are factors of 349. The greatest factor of 349 is 349.

What are the Factors of 354?

Factors of 354 are . There are integers that are factors of 354. The greatest factor of 354 is 354.

How to Find the GCF of 349 and 354?

Greatest Common Factor of 349 and 354 = 1 Step 1: Find the prime factorization of 349 349 = [1, 349] Step 2: Find the prime factorization of 354 354 = [1, 2, 3, 6, 59, 118, 177, 354] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[] = 1 Step 4: Therefore, the greatest common factor of 349 and 354 is 1.

What are the Factors of 349?

Factors of 349 are . There are integers that are factors of 349. The greatest factor of 349 is 349.

What are the Factors of 354?

Factors of 354 are . There are integers that are factors of 354. The greatest factor of 354 is 354.

How to Find the GCF of 349 and 354?

Greatest Common Factor of 349 and 354 = 1 Step 1: Find the prime factorization of 349 349 = [1, 349] Step 2: Find the prime factorization of 354 354 = [1, 2, 3, 6, 59, 118, 177, 354] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[] = 1 Step 4: Therefore, the greatest common factor of 349 and 354 is 1.

GCF of 349 and 354

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

Want to know what the GCF of 349 and 354 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 349 and 354. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 349, 354 using Factoring

In this method, we have to list the factors of 349 and 354 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 349 are 1 , and 349

The factors of 354 are 1 , 2 , 3 , 6 , 59 , 118 , 177 , and 354

As you can see from the aforementioned lists, the largest number that is present in both lists is 1. Therefore, we can determine that the GCF of 349 and 354 is 1.

Greatest Common Factor of 349, 354 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 349 and 354 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.

349, 354

From the picture, we can see that 349 and 354 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

= 1

Hence, the GCF of 349 and 354 is 1.

Find the GCF of 349 and 354

Given numbers are 349 and 354

To find the greatest common factor of 349 and 354

The GCF of 349 and 354 is 1.

FAQs on GCF of 349 and 354

1. What are the LCM and GCF of 349 and 354?

The LCM and GCF of 349 and 354 are 123546 and 1.

2. How to get the GCF of 349 and 354?

The GCF of 349 and 354 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 349, 354?

The 2 different methods to find the greatest common factor of 349 and 354 are prime factorization and factors of both numbers.