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 9004, 9009 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9004 and 9009 is 1.
GCF(9004,9009) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9004
2 | 9004 |
2 | 4502 |
2251 | 2251 |
1 |
Prime factors of 9004 are 2,2251. Prime factorization of 9004 in exponential form is:
9004 = 22×22511
Prime Factorization of 9009
3 | 9009 |
3 | 3003 |
7 | 1001 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 9009 are 3,7,11,13. Prime factorization of 9009 in exponential form is:
9009 = 32×71×111×131
∴ So by taking common prime factors GCF of 9004 and 9009 is 1
Factors of 9004
List of positive integer factors of 9004 that divides 9004 without a remainder.
1,2,4,2251,4502,9004
Factors of 9009
List of positive integer factors of 9009 that divides 9009 without a remainder.
1,3,7,9,11,13,21,33,39,63,77,91,99,117,143,231,273,429,693,819,1001,1287,3003,9009
Greatest Common Factor
We found the factors and prime factorization of 9004 and 9009. The biggest common factor number is the GCF number.
So the greatest common factor 9004 and 9009 is 1.
Also check out the Least Common Multiple of 9004 and 9009
(i) The GCF of 9004 and 9009 is associative
GCF of 9004 and 9009 = GCF of 9009 and 9004
1. What is the GCF of 9004 and 9009?
Answer: GCF of 9004 and 9009 is 1.
2. What are the Factors of 9004?
Answer: Factors of 9004 are 1, 2, 4, 2251, 4502, 9004. There are 6 integers that are factors of 9004. The greatest factor of 9004 is 9004.
3. What are the Factors of 9009?
Answer: Factors of 9009 are 1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003, 9009. There are 24 integers that are factors of 9009. The greatest factor of 9009 is 9009.
4. How to Find the GCF of 9004 and 9009?
Answer:
Greatest Common Factor of 9004 and 9009 = 1
Step 1: Find the prime factorization of 9004
9004 = 2 x 2 x 2251
Step 2: Find the prime factorization of 9009
9009 = 3 x 3 x 7 x 11 x 13
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 9004 and 9009 is 1