Greatest Common Factor of 6060 and 6066

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 6060, 6066 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6060 and 6066 is 6.

GCF(6060,6066) = 6

GCF of 6060 and 6066

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

GCF of:
and

Greatest Common Factor of 6060 and 6066

GCF of 6060 and 6066 is 6

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

Prime Factorization of 6066


2 6066
3 3033
3 1011
337 337
1

Prime factors of 6066 are 2,3,337. Prime factorization of 6066 in exponential form is:

6066 = 21×32×3371

∴ So by taking common prime factors GCF of 6060 and 6066 is 6

Greatest Common Factor of 6060 and 6066 by matching factors method

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

Factors of 6066

List of positive integer factors of 6066 that divides 6066 without a remainder.

1,2,3,6,9,18,337,674,1011,2022,3033,6066

Greatest Common Factor

We found the factors and prime factorization of 6060 and 6066. The biggest common factor number is the GCF number.
So the greatest common factor 6060 and 6066 is 6.

Also check out the Least Common Multiple of 6060 and 6066

Properties of GCF 6060 and 6066

(i) The GCF of 6060 and 6066 is associative

GCF of 6060 and 6066 = GCF of 6066 and 6060

Related Greatest Common Factor of 6060

Related Greatest Common Factor of 6066

Frequently Asked Questions on GCF of 6060 and 6066

1. What is the GCF of 6060 and 6066?

Answer: GCF of 6060 and 6066 is 6.

2. 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.

3. What are the Factors of 6066?

Answer: Factors of 6066 are 1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066. There are 12 integers that are factors of 6066. The greatest factor of 6066 is 6066.

4. How to Find the GCF of 6060 and 6066?

Answer:

Greatest Common Factor of 6060 and 6066 = 6

Step 1: Find the prime factorization of 6060

6060 = 2 x 2 x 3 x 5 x 101

Step 2: Find the prime factorization of 6066

6066 = 2 x 3 x 3 x 337

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6060 and 6066 is 6