Greatest Common Factor of 8320 and 8328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 8320, 8328 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8320 and 8328 is 8.

GCF(8320,8328) = 8

GCF of 8320 and 8328

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 8320 and 8328

GCF of 8320 and 8328 is 8

Prime Factorization of 8320


2 8320
2 4160
2 2080
2 1040
2 520
2 260
2 130
5 65
13 13
1

Prime factors of 8320 are 2,5,13. Prime factorization of 8320 in exponential form is:

8320 = 27×51×131

Prime Factorization of 8328


2 8328
2 4164
2 2082
3 1041
347 347
1

Prime factors of 8328 are 2,3,347. Prime factorization of 8328 in exponential form is:

8328 = 23×31×3471

∴ So by taking common prime factors GCF of 8320 and 8328 is 8

Greatest Common Factor of 8320 and 8328 by matching factors method

Factors of 8320

List of positive integer factors of 8320 that divides 8320 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,128,130,160,208,260,320,416,520,640,832,1040,1664,2080,4160,8320

Factors of 8328

List of positive integer factors of 8328 that divides 8328 without a remainder.

1,2,3,4,6,8,12,24,347,694,1041,1388,2082,2776,4164,8328

Greatest Common Factor

We found the factors and prime factorization of 8320 and 8328. The biggest common factor number is the GCF number.
So the greatest common factor 8320 and 8328 is 8.

Also check out the Least Common Multiple of 8320 and 8328

Properties of GCF 8320 and 8328

(i) The GCF of 8320 and 8328 is associative

GCF of 8320 and 8328 = GCF of 8328 and 8320

Related Greatest Common Factor of 8320

Related Greatest Common Factor of 8328

Frequently Asked Questions on GCF of 8320 and 8328

1. What is the GCF of 8320 and 8328?

Answer: GCF of 8320 and 8328 is 8.

2. What are the Factors of 8320?

Answer: Factors of 8320 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 260, 320, 416, 520, 640, 832, 1040, 1664, 2080, 4160, 8320. There are 32 integers that are factors of 8320. The greatest factor of 8320 is 8320.

3. What are the Factors of 8328?

Answer: Factors of 8328 are 1, 2, 3, 4, 6, 8, 12, 24, 347, 694, 1041, 1388, 2082, 2776, 4164, 8328. There are 16 integers that are factors of 8328. The greatest factor of 8328 is 8328.

4. How to Find the GCF of 8320 and 8328?

Answer:

Greatest Common Factor of 8320 and 8328 = 8

Step 1: Find the prime factorization of 8320

8320 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13

Step 2: Find the prime factorization of 8328

8328 = 2 x 2 x 2 x 3 x 347

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8320 and 8328 is 8