Greatest Common Factor of 6974 and 6982

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 6974, 6982 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6974 and 6982 is 2.

GCF(6974,6982) = 2

GCF of 6974 and 6982

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

GCF of:
and

Greatest Common Factor of 6974 and 6982

GCF of 6974 and 6982 is 2

Prime Factorization of 6974


2 6974
11 3487
317 317
1

Prime factors of 6974 are 2,11,317. Prime factorization of 6974 in exponential form is:

6974 = 21×111×3171

Prime Factorization of 6982


2 6982
3491 3491
1

Prime factors of 6982 are 2,3491. Prime factorization of 6982 in exponential form is:

6982 = 21×34911

∴ So by taking common prime factors GCF of 6974 and 6982 is 2

Greatest Common Factor of 6974 and 6982 by matching factors method

Factors of 6974

List of positive integer factors of 6974 that divides 6974 without a remainder.

1,2,11,22,317,634,3487,6974

Factors of 6982

List of positive integer factors of 6982 that divides 6982 without a remainder.

1,2,3491,6982

Greatest Common Factor

We found the factors and prime factorization of 6974 and 6982. The biggest common factor number is the GCF number.
So the greatest common factor 6974 and 6982 is 2.

Also check out the Least Common Multiple of 6974 and 6982

Properties of GCF 6974 and 6982

(i) The GCF of 6974 and 6982 is associative

GCF of 6974 and 6982 = GCF of 6982 and 6974

Related Greatest Common Factor of 6974

Related Greatest Common Factor of 6982

Frequently Asked Questions on GCF of 6974 and 6982

1. What is the GCF of 6974 and 6982?

Answer: GCF of 6974 and 6982 is 2.

2. What are the Factors of 6974?

Answer: Factors of 6974 are 1, 2, 11, 22, 317, 634, 3487, 6974. There are 8 integers that are factors of 6974. The greatest factor of 6974 is 6974.

3. What are the Factors of 6982?

Answer: Factors of 6982 are 1, 2, 3491, 6982. There are 4 integers that are factors of 6982. The greatest factor of 6982 is 6982.

4. How to Find the GCF of 6974 and 6982?

Answer:

Greatest Common Factor of 6974 and 6982 = 2

Step 1: Find the prime factorization of 6974

6974 = 2 x 11 x 317

Step 2: Find the prime factorization of 6982

6982 = 2 x 3491

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 6974 and 6982 is 2