Greatest Common Factor of 3090 and 3095

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, 3095 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3090 and 3095 is 5.

GCF(3090,3095) = 5

GCF of 3090 and 3095

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

GCF of:
and

Greatest Common Factor of 3090 and 3095

GCF of 3090 and 3095 is 5

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 3095


5 3095
619 619
1

Prime factors of 3095 are 5,619. Prime factorization of 3095 in exponential form is:

3095 = 51×6191

∴ So by taking common prime factors GCF of 3090 and 3095 is 5

Greatest Common Factor of 3090 and 3095 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 3095

List of positive integer factors of 3095 that divides 3095 without a remainder.

1,5,619,3095

Greatest Common Factor

We found the factors and prime factorization of 3090 and 3095. The biggest common factor number is the GCF number.
So the greatest common factor 3090 and 3095 is 5.

Also check out the Least Common Multiple of 3090 and 3095

Properties of GCF 3090 and 3095

(i) The GCF of 3090 and 3095 is associative

GCF of 3090 and 3095 = GCF of 3095 and 3090

Related Greatest Common Factor of 3090

Related Greatest Common Factor of 3095

Frequently Asked Questions on GCF of 3090 and 3095

1. What is the GCF of 3090 and 3095?

Answer: GCF of 3090 and 3095 is 5.

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 3095?

Answer: Factors of 3095 are 1, 5, 619, 3095. There are 4 integers that are factors of 3095. The greatest factor of 3095 is 3095.

4. How to Find the GCF of 3090 and 3095?

Answer:

Greatest Common Factor of 3090 and 3095 = 5

Step 1: Find the prime factorization of 3090

3090 = 2 x 3 x 5 x 103

Step 2: Find the prime factorization of 3095

3095 = 5 x 619

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 3090 and 3095 is 5