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 6027, 6030 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6027 and 6030 is 3.
GCF(6027,6030) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6027
3 | 6027 |
7 | 2009 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 6027 are 3,7,41. Prime factorization of 6027 in exponential form is:
6027 = 31×72×411
Prime Factorization of 6030
2 | 6030 |
3 | 3015 |
3 | 1005 |
5 | 335 |
67 | 67 |
1 |
Prime factors of 6030 are 2,3,5,67. Prime factorization of 6030 in exponential form is:
6030 = 21×32×51×671
∴ So by taking common prime factors GCF of 6027 and 6030 is 3
Factors of 6027
List of positive integer factors of 6027 that divides 6027 without a remainder.
1,3,7,21,41,49,123,147,287,861,2009,6027
Factors of 6030
List of positive integer factors of 6030 that divides 6030 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,67,90,134,201,335,402,603,670,1005,1206,2010,3015,6030
Greatest Common Factor
We found the factors and prime factorization of 6027 and 6030. The biggest common factor number is the GCF number.
So the greatest common factor 6027 and 6030 is 3.
Also check out the Least Common Multiple of 6027 and 6030
(i) The GCF of 6027 and 6030 is associative
GCF of 6027 and 6030 = GCF of 6030 and 6027
1. What is the GCF of 6027 and 6030?
Answer: GCF of 6027 and 6030 is 3.
2. What are the Factors of 6027?
Answer: Factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027. There are 12 integers that are factors of 6027. The greatest factor of 6027 is 6027.
3. What are the Factors of 6030?
Answer: Factors of 6030 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030. There are 24 integers that are factors of 6030. The greatest factor of 6030 is 6030.
4. How to Find the GCF of 6027 and 6030?
Answer:
Greatest Common Factor of 6027 and 6030 = 3
Step 1: Find the prime factorization of 6027
6027 = 3 x 7 x 7 x 41
Step 2: Find the prime factorization of 6030
6030 = 2 x 3 x 3 x 5 x 67
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 6027 and 6030 is 3