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 9052, 9060 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9052 and 9060 is 4.
GCF(9052,9060) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9060
2 | 9060 |
2 | 4530 |
3 | 2265 |
5 | 755 |
151 | 151 |
1 |
Prime factors of 9060 are 2,3,5,151. Prime factorization of 9060 in exponential form is:
9060 = 22×31×51×1511
∴ So by taking common prime factors GCF of 9052 and 9060 is 4
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
Factors of 9060
List of positive integer factors of 9060 that divides 9060 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,151,302,453,604,755,906,1510,1812,2265,3020,4530,9060
Greatest Common Factor
We found the factors and prime factorization of 9052 and 9060. The biggest common factor number is the GCF number.
So the greatest common factor 9052 and 9060 is 4.
Also check out the Least Common Multiple of 9052 and 9060
(i) The GCF of 9052 and 9060 is associative
GCF of 9052 and 9060 = GCF of 9060 and 9052
1. What is the GCF of 9052 and 9060?
Answer: GCF of 9052 and 9060 is 4.
2. 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.
3. What are the Factors of 9060?
Answer: Factors of 9060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 4530, 9060. There are 24 integers that are factors of 9060. The greatest factor of 9060 is 9060.
4. How to Find the GCF of 9052 and 9060?
Answer:
Greatest Common Factor of 9052 and 9060 = 4
Step 1: Find the prime factorization of 9052
9052 = 2 x 2 x 31 x 73
Step 2: Find the prime factorization of 9060
9060 = 2 x 2 x 3 x 5 x 151
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 9052 and 9060 is 4