Greatest Common Factor of 3056 and 3060

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 3056, 3060 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3056 and 3060 is 4.

GCF(3056,3060) = 4

GCF of 3056 and 3060

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

GCF of:
and

Greatest Common Factor of 3056 and 3060

GCF of 3056 and 3060 is 4

Prime Factorization of 3056


2 3056
2 1528
2 764
2 382
191 191
1

Prime factors of 3056 are 2,191. Prime factorization of 3056 in exponential form is:

3056 = 24×1911

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

∴ So by taking common prime factors GCF of 3056 and 3060 is 4

Greatest Common Factor of 3056 and 3060 by matching factors method

Factors of 3056

List of positive integer factors of 3056 that divides 3056 without a remainder.

1,2,4,8,16,191,382,764,1528,3056

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

Greatest Common Factor

We found the factors and prime factorization of 3056 and 3060. The biggest common factor number is the GCF number.
So the greatest common factor 3056 and 3060 is 4.

Also check out the Least Common Multiple of 3056 and 3060

Properties of GCF 3056 and 3060

(i) The GCF of 3056 and 3060 is associative

GCF of 3056 and 3060 = GCF of 3060 and 3056

Related Greatest Common Factor of 3056

Related Greatest Common Factor of 3060

Frequently Asked Questions on GCF of 3056 and 3060

1. What is the GCF of 3056 and 3060?

Answer: GCF of 3056 and 3060 is 4.

2. What are the Factors of 3056?

Answer: Factors of 3056 are 1, 2, 4, 8, 16, 191, 382, 764, 1528, 3056. There are 10 integers that are factors of 3056. The greatest factor of 3056 is 3056.

3. 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.

4. How to Find the GCF of 3056 and 3060?

Answer:

Greatest Common Factor of 3056 and 3060 = 4

Step 1: Find the prime factorization of 3056

3056 = 2 x 2 x 2 x 2 x 191

Step 2: Find the prime factorization of 3060

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

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 3056 and 3060 is 4