Greatest Common Factor of 6975 and 6978

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, 6978 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6975 and 6978 is 3.

GCF(6975,6978) = 3

GCF of 6975 and 6978

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

GCF of:
and

Greatest Common Factor of 6975 and 6978

GCF of 6975 and 6978 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 6978


2 6978
3 3489
1163 1163
1

Prime factors of 6978 are 2,3,1163. Prime factorization of 6978 in exponential form is:

6978 = 21×31×11631

∴ So by taking common prime factors GCF of 6975 and 6978 is 3

Greatest Common Factor of 6975 and 6978 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 6978

List of positive integer factors of 6978 that divides 6978 without a remainder.

1,2,3,6,1163,2326,3489,6978

Greatest Common Factor

We found the factors and prime factorization of 6975 and 6978. The biggest common factor number is the GCF number.
So the greatest common factor 6975 and 6978 is 3.

Also check out the Least Common Multiple of 6975 and 6978

Properties of GCF 6975 and 6978

(i) The GCF of 6975 and 6978 is associative

GCF of 6975 and 6978 = GCF of 6978 and 6975

Related Greatest Common Factor of 6975

Related Greatest Common Factor of 6978

Frequently Asked Questions on GCF of 6975 and 6978

1. What is the GCF of 6975 and 6978?

Answer: GCF of 6975 and 6978 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 6978?

Answer: Factors of 6978 are 1, 2, 3, 6, 1163, 2326, 3489, 6978. There are 8 integers that are factors of 6978. The greatest factor of 6978 is 6978.

4. How to Find the GCF of 6975 and 6978?

Answer:

Greatest Common Factor of 6975 and 6978 = 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 6978

6978 = 2 x 3 x 1163

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 6978 is 3