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GCF of 320 and 324

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


Want to know what the GCF of 320 and 324 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 320 and 324. 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 320, 324 using Factoring

In this method, we have to list the factors of 320 and 324 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 320 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 32 , 40 , 64 , 80 , 160 , and 320

The factors of 324 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 27 , 36 , 54 , 81 , 108 , 162 , and 324


As you can see from the aforementioned lists, the largest number that is present in both lists is 4. Therefore, we can determine that the GCF of 320 and 324 is 4.


Greatest Common Factor of 320, 324 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 320 and 324 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  320,   324
2  160,   162
 80,   81

From the picture, we can see that 80 and 81 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

2 x 2 = 4

Hence, the GCF of 320 and 324 is 4.

Find the GCF of 320 and 324

Given numbers are 320 and 324

To find the greatest common factor of 320 and 324

The GCF of 320 and 324 is 4.

FAQs on GCF of 320 and 324

1. What are the LCM and GCF of 320 and 324?

The LCM and GCF of 320 and 324 are 25920 and 4.

2. How to get the GCF of 320 and 324?

The GCF of 320 and 324 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 320, 324?

The 2 different methods to find the greatest common factor of 320 and 324 are prime factorization and factors of both numbers.