Greatest Common Factor of 3060 and 3065

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 3060, 3065 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3060 and 3065 is 5.

GCF(3060,3065) = 5

GCF of 3060 and 3065

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

GCF of:
and

Greatest Common Factor of 3060 and 3065

GCF of 3060 and 3065 is 5

Prime Factorization of 3060


2 3060
2 1530
3 765
3 255
5 85
17 17
1

Prime factors of 3060 are 2,3,5,17. Prime factorization of 3060 in exponential form is:

3060 = 22×32×51×171

Prime Factorization of 3065


5 3065
613 613
1

Prime factors of 3065 are 5,613. Prime factorization of 3065 in exponential form is:

3065 = 51×6131

∴ So by taking common prime factors GCF of 3060 and 3065 is 5

Greatest Common Factor of 3060 and 3065 by matching factors method

Factors of 3060

List of positive integer factors of 3060 that divides 3060 without a remainder.

1,2,3,4,5,6,9,10,12,15,17,18,20,30,34,36,45,51,60,68,85,90,102,153,170,180,204,255,306,340,510,612,765,1020,1530,3060

Factors of 3065

List of positive integer factors of 3065 that divides 3065 without a remainder.

1,5,613,3065

Greatest Common Factor

We found the factors and prime factorization of 3060 and 3065. The biggest common factor number is the GCF number.
So the greatest common factor 3060 and 3065 is 5.

Also check out the Least Common Multiple of 3060 and 3065

Properties of GCF 3060 and 3065

(i) The GCF of 3060 and 3065 is associative

GCF of 3060 and 3065 = GCF of 3065 and 3060

Related Greatest Common Factor of 3060

Related Greatest Common Factor of 3065

Frequently Asked Questions on GCF of 3060 and 3065

1. What is the GCF of 3060 and 3065?

Answer: GCF of 3060 and 3065 is 5.

2. What are the Factors of 3060?

Answer: Factors of 3060 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530, 3060. There are 36 integers that are factors of 3060. The greatest factor of 3060 is 3060.

3. What are the Factors of 3065?

Answer: Factors of 3065 are 1, 5, 613, 3065. There are 4 integers that are factors of 3065. The greatest factor of 3065 is 3065.

4. How to Find the GCF of 3060 and 3065?

Answer:

Greatest Common Factor of 3060 and 3065 = 5

Step 1: Find the prime factorization of 3060

3060 = 2 x 2 x 3 x 3 x 5 x 17

Step 2: Find the prime factorization of 3065

3065 = 5 x 613

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 3060 and 3065 is 5