Greatest Common Factor of 6966 and 6967

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, 6967 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6966 and 6967 is 1.

GCF(6966,6967) = 1

GCF of 6966 and 6967

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

GCF of:
and

Greatest Common Factor of 6966 and 6967

GCF of 6966 and 6967 is 1

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 6967


6967 6967
1

Prime factors of 6967 are 6967. Prime factorization of 6967 in exponential form is:

6967 = 69671

∴ So by taking common prime factors GCF of 6966 and 6967 is 1

Greatest Common Factor of 6966 and 6967 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 6967

List of positive integer factors of 6967 that divides 6967 without a remainder.

1,6967

Greatest Common Factor

We found the factors and prime factorization of 6966 and 6967. The biggest common factor number is the GCF number.
So the greatest common factor 6966 and 6967 is 1.

Also check out the Least Common Multiple of 6966 and 6967

Properties of GCF 6966 and 6967

(i) The GCF of 6966 and 6967 is associative

GCF of 6966 and 6967 = GCF of 6967 and 6966

Related Greatest Common Factor of 6966

Related Greatest Common Factor of 6967

Frequently Asked Questions on GCF of 6966 and 6967

1. What is the GCF of 6966 and 6967?

Answer: GCF of 6966 and 6967 is 1.

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 6967?

Answer: Factors of 6967 are 1, 6967. There are 2 integers that are factors of 6967. The greatest factor of 6967 is 6967.

4. How to Find the GCF of 6966 and 6967?

Answer:

Greatest Common Factor of 6966 and 6967 = 1

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 6967

6967 = 6967

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6966 and 6967 is 1