Greatest Common Factor of 6967 and 6975

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 6967, 6975 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6967 and 6975 is 1.

GCF(6967,6975) = 1

GCF of 6967 and 6975

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

GCF of:
and

Greatest Common Factor of 6967 and 6975

GCF of 6967 and 6975 is 1

Prime Factorization of 6967


6967 6967
1

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

6967 = 69671

Prime Factorization of 6975


3 6975
3 2325
5 775
5 155
31 31
1

Prime factors of 6975 are 3.Prime factorization of 6975 in exponential form is:

6975 = 32×52×311

∴ So by taking common prime factors GCF of 6967 and 6975 is 1

Greatest Common Factor of 6967 and 6975 by matching factors method

Factors of 6967

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

1,6967

Factors of 6975

List of positive integer factors of 6975 that divides 6975 without a remainder.

1,3,5,9,15,25,31,45,75,93,155,225,279,465,775,1395,2325,6975

Greatest Common Factor

We found the factors and prime factorization of 6967 and 6975. The biggest common factor number is the GCF number.
So the greatest common factor 6967 and 6975 is 1.

Also check out the Least Common Multiple of 6967 and 6975

Properties of GCF 6967 and 6975

(i) The GCF of 6967 and 6975 is associative

GCF of 6967 and 6975 = GCF of 6975 and 6967

Related Greatest Common Factor of 6967

Related Greatest Common Factor of 6975

Frequently Asked Questions on GCF of 6967 and 6975

1. What is the GCF of 6967 and 6975?

Answer: GCF of 6967 and 6975 is 1.

2. 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.

3. What are the Factors of 6975?

Answer: Factors of 6975 are 1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 155, 225, 279, 465, 775, 1395, 2325, 6975. There are 18 integers that are factors of 6975. The greatest factor of 6975 is 6975.

4. How to Find the GCF of 6967 and 6975?

Answer:

Greatest Common Factor of 6967 and 6975 = 1

Step 1: Find the prime factorization of 6967

6967 = 6967

Step 2: Find the prime factorization of 6975

6975 = 3 x 3 x 5 x 5 x 31

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 6967 and 6975 is 1