What are the Factors of 334?

Factors of 334 are . There are integers that are factors of 334. The greatest factor of 334 is 334.

What are the Factors of 342?

Factors of 342 are . There are integers that are factors of 342. The greatest factor of 342 is 342.

How to Find the GCF of 334 and 342?

Greatest Common Factor of 334 and 342 = 2 Step 1: Find the prime factorization of 334 334 = [1, 2, 167, 334] Step 2: Find the prime factorization of 342 342 = [1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342] 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 334 and 342 is 2.

What are the Factors of 334?

Factors of 334 are . There are integers that are factors of 334. The greatest factor of 334 is 334.

What are the Factors of 342?

Factors of 342 are . There are integers that are factors of 342. The greatest factor of 342 is 342.

How to Find the GCF of 334 and 342?

Greatest Common Factor of 334 and 342 = 2 Step 1: Find the prime factorization of 334 334 = [1, 2, 167, 334] Step 2: Find the prime factorization of 342 342 = [1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342] 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 334 and 342 is 2.

GCF of 334 and 342

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

Want to know what the GCF of 334 and 342 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 334 and 342. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 334, 342 using Factoring

In this method, we have to list the factors of 334 and 342 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 334 are 1 , 2 , 167 , and 334

The factors of 342 are 1 , 2 , 3 , 6 , 9 , 18 , 19 , 38 , 57 , 114 , 171 , and 342

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 334 and 342 is 2.

Greatest Common Factor of 334, 342 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 334 and 342 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	334, 342
	167, 171

From the picture, we can see that 167 and 171 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 334 and 342 is 2.

Find the GCF of 334 and 342

Given numbers are 334 and 342

To find the greatest common factor of 334 and 342

The GCF of 334 and 342 is 2.

FAQs on GCF of 334 and 342

1. What are the LCM and GCF of 334 and 342?

The LCM and GCF of 334 and 342 are 57114 and 2.

2. How to get the GCF of 334 and 342?

The GCF of 334 and 342 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 334, 342?

The 2 different methods to find the greatest common factor of 334 and 342 are prime factorization and factors of both numbers.