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 9153, 9156 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9153 and 9156 is 3.
GCF(9153,9156) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9153
3 | 9153 |
3 | 3051 |
3 | 1017 |
3 | 339 |
113 | 113 |
1 |
Prime factors of 9153 are 3,113. Prime factorization of 9153 in exponential form is:
9153 = 34×1131
Prime Factorization of 9156
2 | 9156 |
2 | 4578 |
3 | 2289 |
7 | 763 |
109 | 109 |
1 |
Prime factors of 9156 are 2,3,7,109. Prime factorization of 9156 in exponential form is:
9156 = 22×31×71×1091
∴ So by taking common prime factors GCF of 9153 and 9156 is 3
Factors of 9153
List of positive integer factors of 9153 that divides 9153 without a remainder.
1,3,9,27,81,113,339,1017,3051,9153
Factors of 9156
List of positive integer factors of 9156 that divides 9156 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84,109,218,327,436,654,763,1308,1526,2289,3052,4578,9156
Greatest Common Factor
We found the factors and prime factorization of 9153 and 9156. The biggest common factor number is the GCF number.
So the greatest common factor 9153 and 9156 is 3.
Also check out the Least Common Multiple of 9153 and 9156
(i) The GCF of 9153 and 9156 is associative
GCF of 9153 and 9156 = GCF of 9156 and 9153
1. What is the GCF of 9153 and 9156?
Answer: GCF of 9153 and 9156 is 3.
2. What are the Factors of 9153?
Answer: Factors of 9153 are 1, 3, 9, 27, 81, 113, 339, 1017, 3051, 9153. There are 10 integers that are factors of 9153. The greatest factor of 9153 is 9153.
3. What are the Factors of 9156?
Answer: Factors of 9156 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156. There are 24 integers that are factors of 9156. The greatest factor of 9156 is 9156.
4. How to Find the GCF of 9153 and 9156?
Answer:
Greatest Common Factor of 9153 and 9156 = 3
Step 1: Find the prime factorization of 9153
9153 = 3 x 3 x 3 x 3 x 113
Step 2: Find the prime factorization of 9156
9156 = 2 x 2 x 3 x 7 x 109
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 9153 and 9156 is 3