Greatest Common Factor of 6974 and 6980

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, 6980 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6974 and 6980 is 2.

GCF(6974,6980) = 2

GCF of 6974 and 6980

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

GCF of:
and

Greatest Common Factor of 6974 and 6980

GCF of 6974 and 6980 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 6980


2 6980
2 3490
5 1745
349 349
1

Prime factors of 6980 are 2,5,349. Prime factorization of 6980 in exponential form is:

6980 = 22×51×3491

∴ So by taking common prime factors GCF of 6974 and 6980 is 2

Greatest Common Factor of 6974 and 6980 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 6980

List of positive integer factors of 6980 that divides 6980 without a remainder.

1,2,4,5,10,20,349,698,1396,1745,3490,6980

Greatest Common Factor

We found the factors and prime factorization of 6974 and 6980. The biggest common factor number is the GCF number.
So the greatest common factor 6974 and 6980 is 2.

Also check out the Least Common Multiple of 6974 and 6980

Properties of GCF 6974 and 6980

(i) The GCF of 6974 and 6980 is associative

GCF of 6974 and 6980 = GCF of 6980 and 6974

Related Greatest Common Factor of 6974

Related Greatest Common Factor of 6980

Frequently Asked Questions on GCF of 6974 and 6980

1. What is the GCF of 6974 and 6980?

Answer: GCF of 6974 and 6980 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 6980?

Answer: Factors of 6980 are 1, 2, 4, 5, 10, 20, 349, 698, 1396, 1745, 3490, 6980. There are 12 integers that are factors of 6980. The greatest factor of 6980 is 6980.

4. How to Find the GCF of 6974 and 6980?

Answer:

Greatest Common Factor of 6974 and 6980 = 2

Step 1: Find the prime factorization of 6974

6974 = 2 x 11 x 317

Step 2: Find the prime factorization of 6980

6980 = 2 x 2 x 5 x 349

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 6980 is 2