Greatest Common Factor of 11055 and 11060

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 11055, 11060 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11055 and 11060 is 5.

GCF(11055,11060) = 5

GCF of 11055 and 11060

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

GCF of:
and

Greatest Common Factor of 11055 and 11060

GCF of 11055 and 11060 is 5

Prime Factorization of 11055


3 11055
5 3685
11 737
67 67
1

Prime factors of 11055 are 3,5,11,67. Prime factorization of 11055 in exponential form is:

11055 = 31×51×111×671

Prime Factorization of 11060


2 11060
2 5530
5 2765
7 553
79 79
1

Prime factors of 11060 are 2,5,7,79. Prime factorization of 11060 in exponential form is:

11060 = 22×51×71×791

∴ So by taking common prime factors GCF of 11055 and 11060 is 5

Greatest Common Factor of 11055 and 11060 by matching factors method

Factors of 11055

List of positive integer factors of 11055 that divides 11055 without a remainder.

1,3,5,11,15,33,55,67,165,201,335,737,1005,2211,3685,11055

Factors of 11060

List of positive integer factors of 11060 that divides 11060 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,79,140,158,316,395,553,790,1106,1580,2212,2765,5530,11060

Greatest Common Factor

We found the factors and prime factorization of 11055 and 11060. The biggest common factor number is the GCF number.
So the greatest common factor 11055 and 11060 is 5.

Also check out the Least Common Multiple of 11055 and 11060

Properties of GCF 11055 and 11060

(i) The GCF of 11055 and 11060 is associative

GCF of 11055 and 11060 = GCF of 11060 and 11055

Related Greatest Common Factor of 11055

Related Greatest Common Factor of 11060

Frequently Asked Questions on GCF of 11055 and 11060

1. What is the GCF of 11055 and 11060?

Answer: GCF of 11055 and 11060 is 5.

2. What are the Factors of 11055?

Answer: Factors of 11055 are 1, 3, 5, 11, 15, 33, 55, 67, 165, 201, 335, 737, 1005, 2211, 3685, 11055. There are 16 integers that are factors of 11055. The greatest factor of 11055 is 11055.

3. What are the Factors of 11060?

Answer: Factors of 11060 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 79, 140, 158, 316, 395, 553, 790, 1106, 1580, 2212, 2765, 5530, 11060. There are 24 integers that are factors of 11060. The greatest factor of 11060 is 11060.

4. How to Find the GCF of 11055 and 11060?

Answer:

Greatest Common Factor of 11055 and 11060 = 5

Step 1: Find the prime factorization of 11055

11055 = 3 x 5 x 11 x 67

Step 2: Find the prime factorization of 11060

11060 = 2 x 2 x 5 x 7 x 79

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 11055 and 11060 is 5