Greatest Common Factor of 6874 and 6880

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 6874, 6880 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6874 and 6880 is 2.

GCF(6874,6880) = 2

GCF of 6874 and 6880

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

GCF of:
and

Greatest Common Factor of 6874 and 6880

GCF of 6874 and 6880 is 2

Prime Factorization of 6874


2 6874
7 3437
491 491
1

Prime factors of 6874 are 2,7,491. Prime factorization of 6874 in exponential form is:

6874 = 21×71×4911

Prime Factorization of 6880


2 6880
2 3440
2 1720
2 860
2 430
5 215
43 43
1

Prime factors of 6880 are 2,5,43. Prime factorization of 6880 in exponential form is:

6880 = 25×51×431

∴ So by taking common prime factors GCF of 6874 and 6880 is 2

Greatest Common Factor of 6874 and 6880 by matching factors method

Factors of 6874

List of positive integer factors of 6874 that divides 6874 without a remainder.

1,2,7,14,491,982,3437,6874

Factors of 6880

List of positive integer factors of 6880 that divides 6880 without a remainder.

1,2,4,5,8,10,16,20,32,40,43,80,86,160,172,215,344,430,688,860,1376,1720,3440,6880

Greatest Common Factor

We found the factors and prime factorization of 6874 and 6880. The biggest common factor number is the GCF number.
So the greatest common factor 6874 and 6880 is 2.

Also check out the Least Common Multiple of 6874 and 6880

Properties of GCF 6874 and 6880

(i) The GCF of 6874 and 6880 is associative

GCF of 6874 and 6880 = GCF of 6880 and 6874

Related Greatest Common Factor of 6874

Related Greatest Common Factor of 6880

Frequently Asked Questions on GCF of 6874 and 6880

1. What is the GCF of 6874 and 6880?

Answer: GCF of 6874 and 6880 is 2.

2. What are the Factors of 6874?

Answer: Factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874. There are 8 integers that are factors of 6874. The greatest factor of 6874 is 6874.

3. What are the Factors of 6880?

Answer: Factors of 6880 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 80, 86, 160, 172, 215, 344, 430, 688, 860, 1376, 1720, 3440, 6880. There are 24 integers that are factors of 6880. The greatest factor of 6880 is 6880.

4. How to Find the GCF of 6874 and 6880?

Answer:

Greatest Common Factor of 6874 and 6880 = 2

Step 1: Find the prime factorization of 6874

6874 = 2 x 7 x 491

Step 2: Find the prime factorization of 6880

6880 = 2 x 2 x 2 x 2 x 2 x 5 x 43

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 6874 and 6880 is 2