Greatest Common Factor of 6090 and 6095

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 6090, 6095 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6090 and 6095 is 5.

GCF(6090,6095) = 5

GCF of 6090 and 6095

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

GCF of:
and

Greatest Common Factor of 6090 and 6095

GCF of 6090 and 6095 is 5

Prime Factorization of 6090


2 6090
3 3045
5 1015
7 203
29 29
1

Prime factors of 6090 are 2,3,5,7,29. Prime factorization of 6090 in exponential form is:

6090 = 21×31×51×71×291

Prime Factorization of 6095


5 6095
23 1219
53 53
1

Prime factors of 6095 are 5,23,53. Prime factorization of 6095 in exponential form is:

6095 = 51×231×531

∴ So by taking common prime factors GCF of 6090 and 6095 is 5

Greatest Common Factor of 6090 and 6095 by matching factors method

Factors of 6090

List of positive integer factors of 6090 that divides 6090 without a remainder.

1,2,3,5,6,7,10,14,15,21,29,30,35,42,58,70,87,105,145,174,203,210,290,406,435,609,870,1015,1218,2030,3045,6090

Factors of 6095

List of positive integer factors of 6095 that divides 6095 without a remainder.

1,5,23,53,115,265,1219,6095

Greatest Common Factor

We found the factors and prime factorization of 6090 and 6095. The biggest common factor number is the GCF number.
So the greatest common factor 6090 and 6095 is 5.

Also check out the Least Common Multiple of 6090 and 6095

Properties of GCF 6090 and 6095

(i) The GCF of 6090 and 6095 is associative

GCF of 6090 and 6095 = GCF of 6095 and 6090

Related Greatest Common Factor of 6090

Related Greatest Common Factor of 6095

Frequently Asked Questions on GCF of 6090 and 6095

1. What is the GCF of 6090 and 6095?

Answer: GCF of 6090 and 6095 is 5.

2. What are the Factors of 6090?

Answer: Factors of 6090 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090. There are 32 integers that are factors of 6090. The greatest factor of 6090 is 6090.

3. What are the Factors of 6095?

Answer: Factors of 6095 are 1, 5, 23, 53, 115, 265, 1219, 6095. There are 8 integers that are factors of 6095. The greatest factor of 6095 is 6095.

4. How to Find the GCF of 6090 and 6095?

Answer:

Greatest Common Factor of 6090 and 6095 = 5

Step 1: Find the prime factorization of 6090

6090 = 2 x 3 x 5 x 7 x 29

Step 2: Find the prime factorization of 6095

6095 = 5 x 23 x 53

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 6090 and 6095 is 5