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.

What are the Factors of 350?

Factors of 350 are . There are integers that are factors of 350. The greatest factor of 350 is 350.

How to Find the GCF of 345 and 350?

Greatest Common Factor of 345 and 350 = 5 Step 1: Find the prime factorization of 345 345 = [1, 3, 5, 15, 23, 69, 115, 345] Step 2: Find the prime factorization of 350 350 = [1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[5] = 5 Step 4: Therefore, the greatest common factor of 345 and 350 is 5.

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.

What are the Factors of 350?

Factors of 350 are . There are integers that are factors of 350. The greatest factor of 350 is 350.

How to Find the GCF of 345 and 350?

Greatest Common Factor of 345 and 350 = 5 Step 1: Find the prime factorization of 345 345 = [1, 3, 5, 15, 23, 69, 115, 345] Step 2: Find the prime factorization of 350 350 = [1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[5] = 5 Step 4: Therefore, the greatest common factor of 345 and 350 is 5.

GCF of 345 and 350

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

Want to know what the GCF of 345 and 350 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 345 and 350. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 345, 350 using Factoring

In this method, we have to list the factors of 345 and 350 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

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

The factors of 350 are 1 , 2 , 5 , 7 , 10 , 14 , 25 , 35 , 50 , 70 , 175 , and 350

As you can see from the aforementioned lists, the largest number that is present in both lists is 5. Therefore, we can determine that the GCF of 345 and 350 is 5.

Greatest Common Factor of 345, 350 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 345 and 350 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.

5	345, 350
	69, 70

From the picture, we can see that 69 and 70 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

5 = 5

Hence, the GCF of 345 and 350 is 5.

Find the GCF of 345 and 350

Given numbers are 345 and 350

To find the greatest common factor of 345 and 350

The GCF of 345 and 350 is 5.

FAQs on GCF of 345 and 350

1. What are the LCM and GCF of 345 and 350?

The LCM and GCF of 345 and 350 are 24150 and 5.

2. How to get the GCF of 345 and 350?

The GCF of 345 and 350 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 345, 350?

The 2 different methods to find the greatest common factor of 345 and 350 are prime factorization and factors of both numbers.