Greatest Common Factor of 6970 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 6970, 6975 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6970 and 6975 is 5.

GCF(6970,6975) = 5

GCF of 6970 and 6975

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

GCF of:
and

Greatest Common Factor of 6970 and 6975

GCF of 6970 and 6975 is 5

Prime Factorization of 6970


2 6970
5 3485
17 697
41 41
1

Prime factors of 6970 are 2,5,17,41. Prime factorization of 6970 in exponential form is:

6970 = 21×51×171×411

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

∴ So by taking common prime factors GCF of 6970 and 6975 is 5

Greatest Common Factor of 6970 and 6975 by matching factors method

Factors of 6970

List of positive integer factors of 6970 that divides 6970 without a remainder.

1,2,5,10,17,34,41,82,85,170,205,410,697,1394,3485,6970

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 6970 and 6975. The biggest common factor number is the GCF number.
So the greatest common factor 6970 and 6975 is 5.

Also check out the Least Common Multiple of 6970 and 6975

Properties of GCF 6970 and 6975

(i) The GCF of 6970 and 6975 is associative

GCF of 6970 and 6975 = GCF of 6975 and 6970

Related Greatest Common Factor of 6970

Related Greatest Common Factor of 6975

Frequently Asked Questions on GCF of 6970 and 6975

1. What is the GCF of 6970 and 6975?

Answer: GCF of 6970 and 6975 is 5.

2. What are the Factors of 6970?

Answer: Factors of 6970 are 1, 2, 5, 10, 17, 34, 41, 82, 85, 170, 205, 410, 697, 1394, 3485, 6970. There are 16 integers that are factors of 6970. The greatest factor of 6970 is 6970.

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 6970 and 6975?

Answer:

Greatest Common Factor of 6970 and 6975 = 5

Step 1: Find the prime factorization of 6970

6970 = 2 x 5 x 17 x 41

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 = 5

Step 4: Therefore, the greatest common factor of 6970 and 6975 is 5