Greatest Common Factor of 6714 and 6720

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 6714, 6720 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6714 and 6720 is 6.

GCF(6714,6720) = 6

GCF of 6714 and 6720

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

GCF of:
and

Greatest Common Factor of 6714 and 6720

GCF of 6714 and 6720 is 6

Prime Factorization of 6714


2 6714
3 3357
3 1119
373 373
1

Prime factors of 6714 are 2,3,373. Prime factorization of 6714 in exponential form is:

6714 = 21×32×3731

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

∴ So by taking common prime factors GCF of 6714 and 6720 is 6

Greatest Common Factor of 6714 and 6720 by matching factors method

Factors of 6714

List of positive integer factors of 6714 that divides 6714 without a remainder.

1,2,3,6,9,18,373,746,1119,2238,3357,6714

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

Greatest Common Factor

We found the factors and prime factorization of 6714 and 6720. The biggest common factor number is the GCF number.
So the greatest common factor 6714 and 6720 is 6.

Also check out the Least Common Multiple of 6714 and 6720

Properties of GCF 6714 and 6720

(i) The GCF of 6714 and 6720 is associative

GCF of 6714 and 6720 = GCF of 6720 and 6714

Related Greatest Common Factor of 6714

Related Greatest Common Factor of 6720

Frequently Asked Questions on GCF of 6714 and 6720

1. What is the GCF of 6714 and 6720?

Answer: GCF of 6714 and 6720 is 6.

2. What are the Factors of 6714?

Answer: Factors of 6714 are 1, 2, 3, 6, 9, 18, 373, 746, 1119, 2238, 3357, 6714. There are 12 integers that are factors of 6714. The greatest factor of 6714 is 6714.

3. 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.

4. How to Find the GCF of 6714 and 6720?

Answer:

Greatest Common Factor of 6714 and 6720 = 6

Step 1: Find the prime factorization of 6714

6714 = 2 x 3 x 3 x 373

Step 2: 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 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6714 and 6720 is 6