Greatest Common Factor of 6090 and 6096

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, 6096 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6090 and 6096 is 6.

GCF(6090,6096) = 6

GCF of 6090 and 6096

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

GCF of:
and

Greatest Common Factor of 6090 and 6096

GCF of 6090 and 6096 is 6

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 6096


2 6096
2 3048
2 1524
2 762
3 381
127 127
1

Prime factors of 6096 are 2,3,127. Prime factorization of 6096 in exponential form is:

6096 = 24×31×1271

∴ So by taking common prime factors GCF of 6090 and 6096 is 6

Greatest Common Factor of 6090 and 6096 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 6096

List of positive integer factors of 6096 that divides 6096 without a remainder.

1,2,3,4,6,8,12,16,24,48,127,254,381,508,762,1016,1524,2032,3048,6096

Greatest Common Factor

We found the factors and prime factorization of 6090 and 6096. The biggest common factor number is the GCF number.
So the greatest common factor 6090 and 6096 is 6.

Also check out the Least Common Multiple of 6090 and 6096

Properties of GCF 6090 and 6096

(i) The GCF of 6090 and 6096 is associative

GCF of 6090 and 6096 = GCF of 6096 and 6090

Related Greatest Common Factor of 6090

Related Greatest Common Factor of 6096

Frequently Asked Questions on GCF of 6090 and 6096

1. What is the GCF of 6090 and 6096?

Answer: GCF of 6090 and 6096 is 6.

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 6096?

Answer: Factors of 6096 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 127, 254, 381, 508, 762, 1016, 1524, 2032, 3048, 6096. There are 20 integers that are factors of 6096. The greatest factor of 6096 is 6096.

4. How to Find the GCF of 6090 and 6096?

Answer:

Greatest Common Factor of 6090 and 6096 = 6

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 6096

6096 = 2 x 2 x 2 x 2 x 3 x 127

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6090 and 6096 is 6