Greatest Common Factor of 6966 and 6974

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, 6974 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6966 and 6974 is 2.

GCF(6966,6974) = 2

GCF of 6966 and 6974

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

GCF of:
and

Greatest Common Factor of 6966 and 6974

GCF of 6966 and 6974 is 2

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 6974


2 6974
11 3487
317 317
1

Prime factors of 6974 are 2,11,317. Prime factorization of 6974 in exponential form is:

6974 = 21×111×3171

∴ So by taking common prime factors GCF of 6966 and 6974 is 2

Greatest Common Factor of 6966 and 6974 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 6974

List of positive integer factors of 6974 that divides 6974 without a remainder.

1,2,11,22,317,634,3487,6974

Greatest Common Factor

We found the factors and prime factorization of 6966 and 6974. The biggest common factor number is the GCF number.
So the greatest common factor 6966 and 6974 is 2.

Also check out the Least Common Multiple of 6966 and 6974

Properties of GCF 6966 and 6974

(i) The GCF of 6966 and 6974 is associative

GCF of 6966 and 6974 = GCF of 6974 and 6966

Related Greatest Common Factor of 6966

Related Greatest Common Factor of 6974

Frequently Asked Questions on GCF of 6966 and 6974

1. What is the GCF of 6966 and 6974?

Answer: GCF of 6966 and 6974 is 2.

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 6974?

Answer: Factors of 6974 are 1, 2, 11, 22, 317, 634, 3487, 6974. There are 8 integers that are factors of 6974. The greatest factor of 6974 is 6974.

4. How to Find the GCF of 6966 and 6974?

Answer:

Greatest Common Factor of 6966 and 6974 = 2

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 6974

6974 = 2 x 11 x 317

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6966 and 6974 is 2