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 6066, 6072 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6066 and 6072 is 6.
GCF(6066,6072) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 6072
2 | 6072 |
2 | 3036 |
2 | 1518 |
3 | 759 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 6072 are 2,3,11,23. Prime factorization of 6072 in exponential form is:
6072 = 23×31×111×231
∴ So by taking common prime factors GCF of 6066 and 6072 is 6
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
Factors of 6072
List of positive integer factors of 6072 that divides 6072 without a remainder.
1,2,3,4,6,8,11,12,22,23,24,33,44,46,66,69,88,92,132,138,184,253,264,276,506,552,759,1012,1518,2024,3036,6072
Greatest Common Factor
We found the factors and prime factorization of 6066 and 6072. The biggest common factor number is the GCF number.
So the greatest common factor 6066 and 6072 is 6.
Also check out the Least Common Multiple of 6066 and 6072
(i) The GCF of 6066 and 6072 is associative
GCF of 6066 and 6072 = GCF of 6072 and 6066
1. What is the GCF of 6066 and 6072?
Answer: GCF of 6066 and 6072 is 6.
2. 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.
3. What are the Factors of 6072?
Answer: Factors of 6072 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 759, 1012, 1518, 2024, 3036, 6072. There are 32 integers that are factors of 6072. The greatest factor of 6072 is 6072.
4. How to Find the GCF of 6066 and 6072?
Answer:
Greatest Common Factor of 6066 and 6072 = 6
Step 1: Find the prime factorization of 6066
6066 = 2 x 3 x 3 x 337
Step 2: Find the prime factorization of 6072
6072 = 2 x 2 x 2 x 3 x 11 x 23
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 6066 and 6072 is 6