Greatest Common Factor of 3060 and 3068

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, 3068 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3060 and 3068 is 4.

GCF(3060,3068) = 4

GCF of 3060 and 3068

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

GCF of:
and

Greatest Common Factor of 3060 and 3068

GCF of 3060 and 3068 is 4

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 3068


2 3068
2 1534
13 767
59 59
1

Prime factors of 3068 are 2,13,59. Prime factorization of 3068 in exponential form is:

3068 = 22×131×591

∴ So by taking common prime factors GCF of 3060 and 3068 is 4

Greatest Common Factor of 3060 and 3068 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 3068

List of positive integer factors of 3068 that divides 3068 without a remainder.

1,2,4,13,26,52,59,118,236,767,1534,3068

Greatest Common Factor

We found the factors and prime factorization of 3060 and 3068. The biggest common factor number is the GCF number.
So the greatest common factor 3060 and 3068 is 4.

Also check out the Least Common Multiple of 3060 and 3068

Properties of GCF 3060 and 3068

(i) The GCF of 3060 and 3068 is associative

GCF of 3060 and 3068 = GCF of 3068 and 3060

Related Greatest Common Factor of 3060

Related Greatest Common Factor of 3068

Frequently Asked Questions on GCF of 3060 and 3068

1. What is the GCF of 3060 and 3068?

Answer: GCF of 3060 and 3068 is 4.

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 3068?

Answer: Factors of 3068 are 1, 2, 4, 13, 26, 52, 59, 118, 236, 767, 1534, 3068. There are 12 integers that are factors of 3068. The greatest factor of 3068 is 3068.

4. How to Find the GCF of 3060 and 3068?

Answer:

Greatest Common Factor of 3060 and 3068 = 4

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 3068

3068 = 2 x 2 x 13 x 59

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3060 and 3068 is 4