Greatest Common Factor of 6890 and 6895

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 6890, 6895 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6890 and 6895 is 5.

GCF(6890,6895) = 5

GCF of 6890 and 6895

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

GCF of:
and

Greatest Common Factor of 6890 and 6895

GCF of 6890 and 6895 is 5

Prime Factorization of 6890


2 6890
5 3445
13 689
53 53
1

Prime factors of 6890 are 2,5,13,53. Prime factorization of 6890 in exponential form is:

6890 = 21×51×131×531

Prime Factorization of 6895


5 6895
7 1379
197 197
1

Prime factors of 6895 are 5,7,197. Prime factorization of 6895 in exponential form is:

6895 = 51×71×1971

∴ So by taking common prime factors GCF of 6890 and 6895 is 5

Greatest Common Factor of 6890 and 6895 by matching factors method

Factors of 6890

List of positive integer factors of 6890 that divides 6890 without a remainder.

1,2,5,10,13,26,53,65,106,130,265,530,689,1378,3445,6890

Factors of 6895

List of positive integer factors of 6895 that divides 6895 without a remainder.

1,5,7,35,197,985,1379,6895

Greatest Common Factor

We found the factors and prime factorization of 6890 and 6895. The biggest common factor number is the GCF number.
So the greatest common factor 6890 and 6895 is 5.

Also check out the Least Common Multiple of 6890 and 6895

Properties of GCF 6890 and 6895

(i) The GCF of 6890 and 6895 is associative

GCF of 6890 and 6895 = GCF of 6895 and 6890

Related Greatest Common Factor of 6890

Related Greatest Common Factor of 6895

Frequently Asked Questions on GCF of 6890 and 6895

1. What is the GCF of 6890 and 6895?

Answer: GCF of 6890 and 6895 is 5.

2. What are the Factors of 6890?

Answer: Factors of 6890 are 1, 2, 5, 10, 13, 26, 53, 65, 106, 130, 265, 530, 689, 1378, 3445, 6890. There are 16 integers that are factors of 6890. The greatest factor of 6890 is 6890.

3. What are the Factors of 6895?

Answer: Factors of 6895 are 1, 5, 7, 35, 197, 985, 1379, 6895. There are 8 integers that are factors of 6895. The greatest factor of 6895 is 6895.

4. How to Find the GCF of 6890 and 6895?

Answer:

Greatest Common Factor of 6890 and 6895 = 5

Step 1: Find the prime factorization of 6890

6890 = 2 x 5 x 13 x 53

Step 2: Find the prime factorization of 6895

6895 = 5 x 7 x 197

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

GCF = 5

Step 4: Therefore, the greatest common factor of 6890 and 6895 is 5