Greatest Common Factor of 3090 and 3096

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 3090, 3096 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3090 and 3096 is 6.

GCF(3090,3096) = 6

GCF of 3090 and 3096

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

GCF of:
and

Greatest Common Factor of 3090 and 3096

GCF of 3090 and 3096 is 6

Prime Factorization of 3090


2 3090
3 1545
5 515
103 103
1

Prime factors of 3090 are 2,3,5,103. Prime factorization of 3090 in exponential form is:

3090 = 21×31×51×1031

Prime Factorization of 3096


2 3096
2 1548
2 774
3 387
3 129
43 43
1

Prime factors of 3096 are 2,3,43. Prime factorization of 3096 in exponential form is:

3096 = 23×32×431

∴ So by taking common prime factors GCF of 3090 and 3096 is 6

Greatest Common Factor of 3090 and 3096 by matching factors method

Factors of 3090

List of positive integer factors of 3090 that divides 3090 without a remainder.

1,2,3,5,6,10,15,30,103,206,309,515,618,1030,1545,3090

Factors of 3096

List of positive integer factors of 3096 that divides 3096 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,43,72,86,129,172,258,344,387,516,774,1032,1548,3096

Greatest Common Factor

We found the factors and prime factorization of 3090 and 3096. The biggest common factor number is the GCF number.
So the greatest common factor 3090 and 3096 is 6.

Also check out the Least Common Multiple of 3090 and 3096

Properties of GCF 3090 and 3096

(i) The GCF of 3090 and 3096 is associative

GCF of 3090 and 3096 = GCF of 3096 and 3090

Related Greatest Common Factor of 3090

Related Greatest Common Factor of 3096

Frequently Asked Questions on GCF of 3090 and 3096

1. What is the GCF of 3090 and 3096?

Answer: GCF of 3090 and 3096 is 6.

2. What are the Factors of 3090?

Answer: Factors of 3090 are 1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545, 3090. There are 16 integers that are factors of 3090. The greatest factor of 3090 is 3090.

3. What are the Factors of 3096?

Answer: Factors of 3096 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548, 3096. There are 24 integers that are factors of 3096. The greatest factor of 3096 is 3096.

4. How to Find the GCF of 3090 and 3096?

Answer:

Greatest Common Factor of 3090 and 3096 = 6

Step 1: Find the prime factorization of 3090

3090 = 2 x 3 x 5 x 103

Step 2: Find the prime factorization of 3096

3096 = 2 x 2 x 2 x 3 x 3 x 43

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 3090 and 3096 is 6