What are the Factors of 306?

Factors of 306 are . There are integers that are factors of 306. The greatest factor of 306 is 306.

What are the Factors of 314?

Factors of 314 are . There are integers that are factors of 314. The greatest factor of 314 is 314.

How to Find the GCF of 306 and 314?

Greatest Common Factor of 306 and 314 = 2 Step 1: Find the prime factorization of 306 306 = [1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306] Step 2: Find the prime factorization of 314 314 = [1, 2, 157, 314] 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 306 and 314 is 2.

What are the Factors of 306?

Factors of 306 are . There are integers that are factors of 306. The greatest factor of 306 is 306.

What are the Factors of 314?

Factors of 314 are . There are integers that are factors of 314. The greatest factor of 314 is 314.

How to Find the GCF of 306 and 314?

Greatest Common Factor of 306 and 314 = 2 Step 1: Find the prime factorization of 306 306 = [1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306] Step 2: Find the prime factorization of 314 314 = [1, 2, 157, 314] 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 306 and 314 is 2.

GCF of 306 and 314

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

Want to know what the GCF of 306 and 314 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 306 and 314. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 306, 314 using Factoring

In this method, we have to list the factors of 306 and 314 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 306 are 1 , 2 , 3 , 6 , 9 , 17 , 18 , 34 , 51 , 102 , 153 , and 306

The factors of 314 are 1 , 2 , 157 , and 314

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 306 and 314 is 2.

Greatest Common Factor of 306, 314 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 306 and 314 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	306, 314
	153, 157

From the picture, we can see that 153 and 157 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 306 and 314 is 2.

Find the GCF of 306 and 314

Given numbers are 306 and 314

To find the greatest common factor of 306 and 314

The GCF of 306 and 314 is 2.

FAQs on GCF of 306 and 314

1. What are the LCM and GCF of 306 and 314?

The LCM and GCF of 306 and 314 are 48042 and 2.

2. How to get the GCF of 306 and 314?

The GCF of 306 and 314 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 306, 314?

The 2 different methods to find the greatest common factor of 306 and 314 are prime factorization and factors of both numbers.