Greatest Common Factor of 6970 and 6972

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, 6972 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6970 and 6972 is 2.

GCF(6970,6972) = 2

GCF of 6970 and 6972

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

GCF of:
and

Greatest Common Factor of 6970 and 6972

GCF of 6970 and 6972 is 2

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 6972


2 6972
2 3486
3 1743
7 581
83 83
1

Prime factors of 6972 are 2,3,7,83. Prime factorization of 6972 in exponential form is:

6972 = 22×31×71×831

∴ So by taking common prime factors GCF of 6970 and 6972 is 2

Greatest Common Factor of 6970 and 6972 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 6972

List of positive integer factors of 6972 that divides 6972 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,83,84,166,249,332,498,581,996,1162,1743,2324,3486,6972

Greatest Common Factor

We found the factors and prime factorization of 6970 and 6972. The biggest common factor number is the GCF number.
So the greatest common factor 6970 and 6972 is 2.

Also check out the Least Common Multiple of 6970 and 6972

Properties of GCF 6970 and 6972

(i) The GCF of 6970 and 6972 is associative

GCF of 6970 and 6972 = GCF of 6972 and 6970

Related Greatest Common Factor of 6970

Related Greatest Common Factor of 6972

Frequently Asked Questions on GCF of 6970 and 6972

1. What is the GCF of 6970 and 6972?

Answer: GCF of 6970 and 6972 is 2.

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 6972?

Answer: Factors of 6972 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486, 6972. There are 24 integers that are factors of 6972. The greatest factor of 6972 is 6972.

4. How to Find the GCF of 6970 and 6972?

Answer:

Greatest Common Factor of 6970 and 6972 = 2

Step 1: Find the prime factorization of 6970

6970 = 2 x 5 x 17 x 41

Step 2: Find the prime factorization of 6972

6972 = 2 x 2 x 3 x 7 x 83

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6970 and 6972 is 2