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 9027, 9030 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9027 and 9030 is 3.
GCF(9027,9030) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9027
3 | 9027 |
3 | 3009 |
17 | 1003 |
59 | 59 |
1 |
Prime factors of 9027 are 3,17,59. Prime factorization of 9027 in exponential form is:
9027 = 32×171×591
Prime Factorization of 9030
2 | 9030 |
3 | 4515 |
5 | 1505 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 9030 are 2,3,5,7,43. Prime factorization of 9030 in exponential form is:
9030 = 21×31×51×71×431
∴ So by taking common prime factors GCF of 9027 and 9030 is 3
Factors of 9027
List of positive integer factors of 9027 that divides 9027 without a remainder.
1,3,9,17,51,59,153,177,531,1003,3009,9027
Factors of 9030
List of positive integer factors of 9030 that divides 9030 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,43,70,86,105,129,210,215,258,301,430,602,645,903,1290,1505,1806,3010,4515,9030
Greatest Common Factor
We found the factors and prime factorization of 9027 and 9030. The biggest common factor number is the GCF number.
So the greatest common factor 9027 and 9030 is 3.
Also check out the Least Common Multiple of 9027 and 9030
(i) The GCF of 9027 and 9030 is associative
GCF of 9027 and 9030 = GCF of 9030 and 9027
1. What is the GCF of 9027 and 9030?
Answer: GCF of 9027 and 9030 is 3.
2. What are the Factors of 9027?
Answer: Factors of 9027 are 1, 3, 9, 17, 51, 59, 153, 177, 531, 1003, 3009, 9027. There are 12 integers that are factors of 9027. The greatest factor of 9027 is 9027.
3. What are the Factors of 9030?
Answer: Factors of 9030 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 43, 70, 86, 105, 129, 210, 215, 258, 301, 430, 602, 645, 903, 1290, 1505, 1806, 3010, 4515, 9030. There are 32 integers that are factors of 9030. The greatest factor of 9030 is 9030.
4. How to Find the GCF of 9027 and 9030?
Answer:
Greatest Common Factor of 9027 and 9030 = 3
Step 1: Find the prime factorization of 9027
9027 = 3 x 3 x 17 x 59
Step 2: Find the prime factorization of 9030
9030 = 2 x 3 x 5 x 7 x 43
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 9027 and 9030 is 3