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, 9052 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9045 and 9052 is 1.
GCF(9045,9052) = 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 9052
2 | 9052 |
2 | 4526 |
31 | 2263 |
73 | 73 |
1 |
Prime factors of 9052 are 2,31,73. Prime factorization of 9052 in exponential form is:
9052 = 22×311×731
∴ So by taking common prime factors GCF of 9045 and 9052 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 9052
List of positive integer factors of 9052 that divides 9052 without a remainder.
1,2,4,31,62,73,124,146,292,2263,4526,9052
Greatest Common Factor
We found the factors and prime factorization of 9045 and 9052. The biggest common factor number is the GCF number.
So the greatest common factor 9045 and 9052 is 1.
Also check out the Least Common Multiple of 9045 and 9052
(i) The GCF of 9045 and 9052 is associative
GCF of 9045 and 9052 = GCF of 9052 and 9045
1. What is the GCF of 9045 and 9052?
Answer: GCF of 9045 and 9052 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 9052?
Answer: Factors of 9052 are 1, 2, 4, 31, 62, 73, 124, 146, 292, 2263, 4526, 9052. There are 12 integers that are factors of 9052. The greatest factor of 9052 is 9052.
4. How to Find the GCF of 9045 and 9052?
Answer:
Greatest Common Factor of 9045 and 9052 = 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 9052
9052 = 2 x 2 x 31 x 73
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 9052 is 1