Greatest Common Factor of 6960 and 6966

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 6960, 6966 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6960 and 6966 is 6.

GCF(6960,6966) = 6

GCF of 6960 and 6966

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

GCF of:
and

Greatest Common Factor of 6960 and 6966

GCF of 6960 and 6966 is 6

Prime Factorization of 6960


2 6960
2 3480
2 1740
2 870
3 435
5 145
29 29
1

Prime factors of 6960 are 2,3,5,29. Prime factorization of 6960 in exponential form is:

6960 = 24×31×51×291

Prime Factorization of 6966


2 6966
3 3483
3 1161
3 387
3 129
43 43
1

Prime factors of 6966 are 2,3,43. Prime factorization of 6966 in exponential form is:

6966 = 21×34×431

∴ So by taking common prime factors GCF of 6960 and 6966 is 6

Greatest Common Factor of 6960 and 6966 by matching factors method

Factors of 6960

List of positive integer factors of 6960 that divides 6960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,29,30,40,48,58,60,80,87,116,120,145,174,232,240,290,348,435,464,580,696,870,1160,1392,1740,2320,3480,6960

Factors of 6966

List of positive integer factors of 6966 that divides 6966 without a remainder.

1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966

Greatest Common Factor

We found the factors and prime factorization of 6960 and 6966. The biggest common factor number is the GCF number.
So the greatest common factor 6960 and 6966 is 6.

Also check out the Least Common Multiple of 6960 and 6966

Properties of GCF 6960 and 6966

(i) The GCF of 6960 and 6966 is associative

GCF of 6960 and 6966 = GCF of 6966 and 6960

Related Greatest Common Factor of 6960

Related Greatest Common Factor of 6966

Frequently Asked Questions on GCF of 6960 and 6966

1. What is the GCF of 6960 and 6966?

Answer: GCF of 6960 and 6966 is 6.

2. What are the Factors of 6960?

Answer: Factors of 6960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960. There are 40 integers that are factors of 6960. The greatest factor of 6960 is 6960.

3. What are the Factors of 6966?

Answer: Factors of 6966 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966. There are 20 integers that are factors of 6966. The greatest factor of 6966 is 6966.

4. How to Find the GCF of 6960 and 6966?

Answer:

Greatest Common Factor of 6960 and 6966 = 6

Step 1: Find the prime factorization of 6960

6960 = 2 x 2 x 2 x 2 x 3 x 5 x 29

Step 2: Find the prime factorization of 6966

6966 = 2 x 3 x 3 x 3 x 3 x 43

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 6960 and 6966 is 6