Greatest Common Factor of 6966 and 6972

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 6966, 6972 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6966 and 6972 is 6.

GCF(6966,6972) = 6

GCF of 6966 and 6972

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

GCF of:
and

Greatest Common Factor of 6966 and 6972

GCF of 6966 and 6972 is 6

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

Prime Factorization of 6972


2 6972
2 3486
3 1743
7 581
83 83
1

Prime factors of 6972 are 2,3,7,83. Prime factorization of 6972 in exponential form is:

6972 = 22×31×71×831

∴ So by taking common prime factors GCF of 6966 and 6972 is 6

Greatest Common Factor of 6966 and 6972 by matching factors method

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

Factors of 6972

List of positive integer factors of 6972 that divides 6972 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,83,84,166,249,332,498,581,996,1162,1743,2324,3486,6972

Greatest Common Factor

We found the factors and prime factorization of 6966 and 6972. The biggest common factor number is the GCF number.
So the greatest common factor 6966 and 6972 is 6.

Also check out the Least Common Multiple of 6966 and 6972

Properties of GCF 6966 and 6972

(i) The GCF of 6966 and 6972 is associative

GCF of 6966 and 6972 = GCF of 6972 and 6966

Related Greatest Common Factor of 6966

Related Greatest Common Factor of 6972

Frequently Asked Questions on GCF of 6966 and 6972

1. What is the GCF of 6966 and 6972?

Answer: GCF of 6966 and 6972 is 6.

2. 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.

3. What are the Factors of 6972?

Answer: Factors of 6972 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486, 6972. There are 24 integers that are factors of 6972. The greatest factor of 6972 is 6972.

4. How to Find the GCF of 6966 and 6972?

Answer:

Greatest Common Factor of 6966 and 6972 = 6

Step 1: Find the prime factorization of 6966

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

Step 2: Find the prime factorization of 6972

6972 = 2 x 2 x 3 x 7 x 83

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 6966 and 6972 is 6