Greatest Common Factor of 6975 and 6981

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 6975, 6981 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6975 and 6981 is 3.

GCF(6975,6981) = 3

GCF of 6975 and 6981

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

GCF of:
and

Greatest Common Factor of 6975 and 6981

GCF of 6975 and 6981 is 3

Prime Factorization of 6975


3 6975
3 2325
5 775
5 155
31 31
1

Prime factors of 6975 are 3,5,31. Prime factorization of 6975 in exponential form is:

6975 = 32×52×311

Prime Factorization of 6981


3 6981
13 2327
179 179
1

Prime factors of 6981 are 3,13,179. Prime factorization of 6981 in exponential form is:

6981 = 31×131×1791

∴ So by taking common prime factors GCF of 6975 and 6981 is 3

Greatest Common Factor of 6975 and 6981 by matching factors method

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

Factors of 6981

List of positive integer factors of 6981 that divides 6981 without a remainder.

1,3,13,39,179,537,2327,6981

Greatest Common Factor

We found the factors and prime factorization of 6975 and 6981. The biggest common factor number is the GCF number.
So the greatest common factor 6975 and 6981 is 3.

Also check out the Least Common Multiple of 6975 and 6981

Properties of GCF 6975 and 6981

(i) The GCF of 6975 and 6981 is associative

GCF of 6975 and 6981 = GCF of 6981 and 6975

Related Greatest Common Factor of 6975

Related Greatest Common Factor of 6981

Frequently Asked Questions on GCF of 6975 and 6981

1. What is the GCF of 6975 and 6981?

Answer: GCF of 6975 and 6981 is 3.

2. 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.

3. What are the Factors of 6981?

Answer: Factors of 6981 are 1, 3, 13, 39, 179, 537, 2327, 6981. There are 8 integers that are factors of 6981. The greatest factor of 6981 is 6981.

4. How to Find the GCF of 6975 and 6981?

Answer:

Greatest Common Factor of 6975 and 6981 = 3

Step 1: Find the prime factorization of 6975

6975 = 3 x 3 x 5 x 5 x 31

Step 2: Find the prime factorization of 6981

6981 = 3 x 13 x 179

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

GCF = 3

Step 4: Therefore, the greatest common factor of 6975 and 6981 is 3