Greatest Common Factor of 3085 and 3090

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 3085, 3090 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3085 and 3090 is 5.

GCF(3085,3090) = 5

GCF of 3085 and 3090

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

GCF of:
and

Greatest Common Factor of 3085 and 3090

GCF of 3085 and 3090 is 5

Prime Factorization of 3085


5 3085
617 617
1

Prime factors of 3085 are 5,617. Prime factorization of 3085 in exponential form is:

3085 = 51×6171

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

∴ So by taking common prime factors GCF of 3085 and 3090 is 5

Greatest Common Factor of 3085 and 3090 by matching factors method

Factors of 3085

List of positive integer factors of 3085 that divides 3085 without a remainder.

1,5,617,3085

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

Greatest Common Factor

We found the factors and prime factorization of 3085 and 3090. The biggest common factor number is the GCF number.
So the greatest common factor 3085 and 3090 is 5.

Also check out the Least Common Multiple of 3085 and 3090

Properties of GCF 3085 and 3090

(i) The GCF of 3085 and 3090 is associative

GCF of 3085 and 3090 = GCF of 3090 and 3085

Related Greatest Common Factor of 3085

Related Greatest Common Factor of 3090

Frequently Asked Questions on GCF of 3085 and 3090

1. What is the GCF of 3085 and 3090?

Answer: GCF of 3085 and 3090 is 5.

2. What are the Factors of 3085?

Answer: Factors of 3085 are 1, 5, 617, 3085. There are 4 integers that are factors of 3085. The greatest factor of 3085 is 3085.

3. 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.

4. How to Find the GCF of 3085 and 3090?

Answer:

Greatest Common Factor of 3085 and 3090 = 5

Step 1: Find the prime factorization of 3085

3085 = 5 x 617

Step 2: Find the prime factorization of 3090

3090 = 2 x 3 x 5 x 103

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 3085 and 3090 is 5