Greatest Common Factor of 6055 and 6060

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 6055, 6060 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6055 and 6060 is 5.

GCF(6055,6060) = 5

GCF of 6055 and 6060

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

GCF of:
and

Greatest Common Factor of 6055 and 6060

GCF of 6055 and 6060 is 5

Prime Factorization of 6055


5 6055
7 1211
173 173
1

Prime factors of 6055 are 5,7,173. Prime factorization of 6055 in exponential form is:

6055 = 51×71×1731

Prime Factorization of 6060


2 6060
2 3030
3 1515
5 505
101 101
1

Prime factors of 6060 are 2,3,5,101. Prime factorization of 6060 in exponential form is:

6060 = 22×31×51×1011

∴ So by taking common prime factors GCF of 6055 and 6060 is 5

Greatest Common Factor of 6055 and 6060 by matching factors method

Factors of 6055

List of positive integer factors of 6055 that divides 6055 without a remainder.

1,5,7,35,173,865,1211,6055

Factors of 6060

List of positive integer factors of 6060 that divides 6060 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,101,202,303,404,505,606,1010,1212,1515,2020,3030,6060

Greatest Common Factor

We found the factors and prime factorization of 6055 and 6060. The biggest common factor number is the GCF number.
So the greatest common factor 6055 and 6060 is 5.

Also check out the Least Common Multiple of 6055 and 6060

Properties of GCF 6055 and 6060

(i) The GCF of 6055 and 6060 is associative

GCF of 6055 and 6060 = GCF of 6060 and 6055

Related Greatest Common Factor of 6055

Related Greatest Common Factor of 6060

Frequently Asked Questions on GCF of 6055 and 6060

1. What is the GCF of 6055 and 6060?

Answer: GCF of 6055 and 6060 is 5.

2. What are the Factors of 6055?

Answer: Factors of 6055 are 1, 5, 7, 35, 173, 865, 1211, 6055. There are 8 integers that are factors of 6055. The greatest factor of 6055 is 6055.

3. What are the Factors of 6060?

Answer: Factors of 6060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060. There are 24 integers that are factors of 6060. The greatest factor of 6060 is 6060.

4. How to Find the GCF of 6055 and 6060?

Answer:

Greatest Common Factor of 6055 and 6060 = 5

Step 1: Find the prime factorization of 6055

6055 = 5 x 7 x 173

Step 2: Find the prime factorization of 6060

6060 = 2 x 2 x 3 x 5 x 101

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 6055 and 6060 is 5