GCF of 312 and 320

In this method, we have to list the factors of 312 and 320 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 312 are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 13 , 24 , 26 , 39 , 52 , 78 , 104 , 156 , and 312

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

As you can see from the aforementioned lists, the largest number that is present in both lists is 8. Therefore, we can determine that the GCF of 312 and 320 is 8.

Greatest Common Factor of 312, 320 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 312 and 320 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	312,   320
2	156,   160
2	78,   80
	39,   40

From the picture, we can see that 39 and 40 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 x 2 = 8

Hence, the GCF of 312 and 320 is 8.

Given numbers are 312 and 320

To find the greatest common factor of 312 and 320

The GCF of 312 and 320 is 8.

1. What are the LCM and GCF of 312 and 320?

The LCM and GCF of 312 and 320 are 12480 and 8.

2. How to get the GCF of 312 and 320?

The GCF of 312 and 320 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 312, 320?

The 2 different methods to find the greatest common factor of 312 and 320 are prime factorization and factors of both numbers.