Greatest Common Factor of 6874 and 6877

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, 6877 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6874 and 6877 is 1.

GCF(6874,6877) = 1

GCF of 6874 and 6877

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

GCF of:
and

Greatest Common Factor of 6874 and 6877

GCF of 6874 and 6877 is 1

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 6877


13 6877
23 529
23 23
1

Prime factors of 6877 are 13,23. Prime factorization of 6877 in exponential form is:

6877 = 131×232

∴ So by taking common prime factors GCF of 6874 and 6877 is 1

Greatest Common Factor of 6874 and 6877 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 6877

List of positive integer factors of 6877 that divides 6877 without a remainder.

1,13,23,299,529,6877

Greatest Common Factor

We found the factors and prime factorization of 6874 and 6877. The biggest common factor number is the GCF number.
So the greatest common factor 6874 and 6877 is 1.

Also check out the Least Common Multiple of 6874 and 6877

Properties of GCF 6874 and 6877

(i) The GCF of 6874 and 6877 is associative

GCF of 6874 and 6877 = GCF of 6877 and 6874

Related Greatest Common Factor of 6874

Related Greatest Common Factor of 6877

Frequently Asked Questions on GCF of 6874 and 6877

1. What is the GCF of 6874 and 6877?

Answer: GCF of 6874 and 6877 is 1.

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 6877?

Answer: Factors of 6877 are 1, 13, 23, 299, 529, 6877. There are 6 integers that are factors of 6877. The greatest factor of 6877 is 6877.

4. How to Find the GCF of 6874 and 6877?

Answer:

Greatest Common Factor of 6874 and 6877 = 1

Step 1: Find the prime factorization of 6874

6874 = 2 x 7 x 491

Step 2: Find the prime factorization of 6877

6877 = 13 x 23 x 23

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6874 and 6877 is 1