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 9045, 9047 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9045 and 9047 is 1.
GCF(9045,9047) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9045
3 | 9045 |
3 | 3015 |
3 | 1005 |
5 | 335 |
67 | 67 |
1 |
Prime factors of 9045 are 3,5,67. Prime factorization of 9045 in exponential form is:
9045 = 33×51×671
Prime Factorization of 9047
83 | 9047 |
109 | 109 |
1 |
Prime factors of 9047 are 83,109. Prime factorization of 9047 in exponential form is:
9047 = 831×1091
∴ So by taking common prime factors GCF of 9045 and 9047 is 1
Factors of 9045
List of positive integer factors of 9045 that divides 9045 without a remainder.
1,3,5,9,15,27,45,67,135,201,335,603,1005,1809,3015,9045
Factors of 9047
List of positive integer factors of 9047 that divides 9047 without a remainder.
1,83,109,9047
Greatest Common Factor
We found the factors and prime factorization of 9045 and 9047. The biggest common factor number is the GCF number.
So the greatest common factor 9045 and 9047 is 1.
Also check out the Least Common Multiple of 9045 and 9047
(i) The GCF of 9045 and 9047 is associative
GCF of 9045 and 9047 = GCF of 9047 and 9045
1. What is the GCF of 9045 and 9047?
Answer: GCF of 9045 and 9047 is 1.
2. What are the Factors of 9045?
Answer: Factors of 9045 are 1, 3, 5, 9, 15, 27, 45, 67, 135, 201, 335, 603, 1005, 1809, 3015, 9045. There are 16 integers that are factors of 9045. The greatest factor of 9045 is 9045.
3. What are the Factors of 9047?
Answer: Factors of 9047 are 1, 83, 109, 9047. There are 4 integers that are factors of 9047. The greatest factor of 9047 is 9047.
4. How to Find the GCF of 9045 and 9047?
Answer:
Greatest Common Factor of 9045 and 9047 = 1
Step 1: Find the prime factorization of 9045
9045 = 3 x 3 x 3 x 5 x 67
Step 2: Find the prime factorization of 9047
9047 = 83 x 109
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 9045 and 9047 is 1