Greatest Common Factor of 6720 and 6728

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 6720, 6728 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6720 and 6728 is 8.

GCF(6720,6728) = 8

GCF of 6720 and 6728

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

GCF of:
and

Greatest Common Factor of 6720 and 6728

GCF of 6720 and 6728 is 8

Prime Factorization of 6720


2 6720
2 3360
2 1680
2 840
2 420
2 210
3 105
5 35
7 7
1

Prime factors of 6720 are 2,3,5,7. Prime factorization of 6720 in exponential form is:

6720 = 26×31×51×71

Prime Factorization of 6728


2 6728
2 3364
2 1682
29 841
29 29
1

Prime factors of 6728 are 2,29. Prime factorization of 6728 in exponential form is:

6728 = 23×292

∴ So by taking common prime factors GCF of 6720 and 6728 is 8

Greatest Common Factor of 6720 and 6728 by matching factors method

Factors of 6720

List of positive integer factors of 6720 that divides 6720 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,64,70,80,84,96,105,112,120,140,160,168,192,210,224,240,280,320,336,420,448,480,560,672,840,960,1120,1344,1680,2240,3360,6720

Factors of 6728

List of positive integer factors of 6728 that divides 6728 without a remainder.

1,2,4,8,29,58,116,232,841,1682,3364,6728

Greatest Common Factor

We found the factors and prime factorization of 6720 and 6728. The biggest common factor number is the GCF number.
So the greatest common factor 6720 and 6728 is 8.

Also check out the Least Common Multiple of 6720 and 6728

Properties of GCF 6720 and 6728

(i) The GCF of 6720 and 6728 is associative

GCF of 6720 and 6728 = GCF of 6728 and 6720

Related Greatest Common Factor of 6720

Related Greatest Common Factor of 6728

Frequently Asked Questions on GCF of 6720 and 6728

1. What is the GCF of 6720 and 6728?

Answer: GCF of 6720 and 6728 is 8.

2. What are the Factors of 6720?

Answer: Factors of 6720 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 64, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 420, 448, 480, 560, 672, 840, 960, 1120, 1344, 1680, 2240, 3360, 6720. There are 56 integers that are factors of 6720. The greatest factor of 6720 is 6720.

3. What are the Factors of 6728?

Answer: Factors of 6728 are 1, 2, 4, 8, 29, 58, 116, 232, 841, 1682, 3364, 6728. There are 12 integers that are factors of 6728. The greatest factor of 6728 is 6728.

4. How to Find the GCF of 6720 and 6728?

Answer:

Greatest Common Factor of 6720 and 6728 = 8

Step 1: Find the prime factorization of 6720

6720 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7

Step 2: Find the prime factorization of 6728

6728 = 2 x 2 x 2 x 29 x 29

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 6720 and 6728 is 8