What are the Factors of 338?

Factors of 338 are . There are integers that are factors of 338. The greatest factor of 338 is 338.

What are the Factors of 345?

Factors of 345 are . There are integers that are factors of 345. The greatest factor of 345 is 345.

How to Find the GCF of 338 and 345?

Greatest Common Factor of 338 and 345 = 1 Step 1: Find the prime factorization of 338 338 = [1, 2, 13, 26, 169, 338] Step 2: Find the prime factorization of 345 345 = [1, 3, 5, 15, 23, 69, 115, 345] 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 338 and 345 is 1.

What are the Factors of 338?

Factors of 338 are . There are integers that are factors of 338. The greatest factor of 338 is 338.

What are the Factors of 345?

Factors of 345 are . There are integers that are factors of 345. The greatest factor of 345 is 345.

How to Find the GCF of 338 and 345?

Greatest Common Factor of 338 and 345 = 1 Step 1: Find the prime factorization of 338 338 = [1, 2, 13, 26, 169, 338] Step 2: Find the prime factorization of 345 345 = [1, 3, 5, 15, 23, 69, 115, 345] 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 338 and 345 is 1.

GCF of 338 and 345

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

Want to know what the GCF of 338 and 345 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 338 and 345. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 338, 345 using Factoring

In this method, we have to list the factors of 338 and 345 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 338 are 1 , 2 , 13 , 26 , 169 , and 338

The factors of 345 are 1 , 3 , 5 , 15 , 23 , 69 , 115 , and 345

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 338 and 345 is 1.

Greatest Common Factor of 338, 345 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 338 and 345 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.

338, 345

From the picture, we can see that 338 and 345 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 338 and 345 is 1.

Find the GCF of 338 and 345

Given numbers are 338 and 345

To find the greatest common factor of 338 and 345

The GCF of 338 and 345 is 1.

FAQs on GCF of 338 and 345

1. What are the LCM and GCF of 338 and 345?

The LCM and GCF of 338 and 345 are 116610 and 1.

2. How to get the GCF of 338 and 345?

The GCF of 338 and 345 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 338, 345?

The 2 different methods to find the greatest common factor of 338 and 345 are prime factorization and factors of both numbers.