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GCF of 302 and 306

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

Want to know what the GCF of 302 and 306 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 302 and 306. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

GCF of:
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Detailed Solution to Calculate GCF of 302, 306 using Factoring

In this method, we have to list the factors of 302 and 306 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 302 are 1 , 2 , 151 , and 302

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


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 302 and 306 is 2.


Greatest Common Factor of 302, 306 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 302 and 306 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  302,   306
 151,   153

From the picture, we can see that 151 and 153 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 302 and 306 is 2.

Find the GCF of 302 and 306

Given numbers are 302 and 306

To find the greatest common factor of 302 and 306

The GCF of 302 and 306 is 2.

FAQs on GCF of 302 and 306

1. What are the LCM and GCF of 302 and 306?

The LCM and GCF of 302 and 306 are 46206 and 2.

2. How to get the GCF of 302 and 306?

The GCF of 302 and 306 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 302, 306?

The 2 different methods to find the greatest common factor of 302 and 306 are prime factorization and factors of both numbers.