Greatest Common Factor of 6868 and 6872

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 6868, 6872 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6868 and 6872 is 4.

GCF(6868,6872) = 4

GCF of 6868 and 6872

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

GCF of:
and

Greatest Common Factor of 6868 and 6872

GCF of 6868 and 6872 is 4

Prime Factorization of 6868


2 6868
2 3434
17 1717
101 101
1

Prime factors of 6868 are 2,17,101. Prime factorization of 6868 in exponential form is:

6868 = 22×171×1011

Prime Factorization of 6872


2 6872
2 3436
2 1718
859 859
1

Prime factors of 6872 are 2,859. Prime factorization of 6872 in exponential form is:

6872 = 23×8591

∴ So by taking common prime factors GCF of 6868 and 6872 is 4

Greatest Common Factor of 6868 and 6872 by matching factors method

Factors of 6868

List of positive integer factors of 6868 that divides 6868 without a remainder.

1,2,4,17,34,68,101,202,404,1717,3434,6868

Factors of 6872

List of positive integer factors of 6872 that divides 6872 without a remainder.

1,2,4,8,859,1718,3436,6872

Greatest Common Factor

We found the factors and prime factorization of 6868 and 6872. The biggest common factor number is the GCF number.
So the greatest common factor 6868 and 6872 is 4.

Also check out the Least Common Multiple of 6868 and 6872

Properties of GCF 6868 and 6872

(i) The GCF of 6868 and 6872 is associative

GCF of 6868 and 6872 = GCF of 6872 and 6868

Related Greatest Common Factor of 6868

Related Greatest Common Factor of 6872

Frequently Asked Questions on GCF of 6868 and 6872

1. What is the GCF of 6868 and 6872?

Answer: GCF of 6868 and 6872 is 4.

2. What are the Factors of 6868?

Answer: Factors of 6868 are 1, 2, 4, 17, 34, 68, 101, 202, 404, 1717, 3434, 6868. There are 12 integers that are factors of 6868. The greatest factor of 6868 is 6868.

3. What are the Factors of 6872?

Answer: Factors of 6872 are 1, 2, 4, 8, 859, 1718, 3436, 6872. There are 8 integers that are factors of 6872. The greatest factor of 6872 is 6872.

4. How to Find the GCF of 6868 and 6872?

Answer:

Greatest Common Factor of 6868 and 6872 = 4

Step 1: Find the prime factorization of 6868

6868 = 2 x 2 x 17 x 101

Step 2: Find the prime factorization of 6872

6872 = 2 x 2 x 2 x 859

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6868 and 6872 is 4