Greatest Common Factor of 6090 and 6094

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, 6094 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6090 and 6094 is 2.

GCF(6090,6094) = 2

GCF of 6090 and 6094

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

GCF of:
and

Greatest Common Factor of 6090 and 6094

GCF of 6090 and 6094 is 2

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 6094


2 6094
11 3047
277 277
1

Prime factors of 6094 are 2,11,277. Prime factorization of 6094 in exponential form is:

6094 = 21×111×2771

∴ So by taking common prime factors GCF of 6090 and 6094 is 2

Greatest Common Factor of 6090 and 6094 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 6094

List of positive integer factors of 6094 that divides 6094 without a remainder.

1,2,11,22,277,554,3047,6094

Greatest Common Factor

We found the factors and prime factorization of 6090 and 6094. The biggest common factor number is the GCF number.
So the greatest common factor 6090 and 6094 is 2.

Also check out the Least Common Multiple of 6090 and 6094

Properties of GCF 6090 and 6094

(i) The GCF of 6090 and 6094 is associative

GCF of 6090 and 6094 = GCF of 6094 and 6090

Related Greatest Common Factor of 6090

Related Greatest Common Factor of 6094

Frequently Asked Questions on GCF of 6090 and 6094

1. What is the GCF of 6090 and 6094?

Answer: GCF of 6090 and 6094 is 2.

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 6094?

Answer: Factors of 6094 are 1, 2, 11, 22, 277, 554, 3047, 6094. There are 8 integers that are factors of 6094. The greatest factor of 6094 is 6094.

4. How to Find the GCF of 6090 and 6094?

Answer:

Greatest Common Factor of 6090 and 6094 = 2

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 6094

6094 = 2 x 11 x 277

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 6090 and 6094 is 2