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 9048, 9054 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9048 and 9054 is 6.
GCF(9048,9054) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9048
2 | 9048 |
2 | 4524 |
2 | 2262 |
3 | 1131 |
13 | 377 |
29 | 29 |
1 |
Prime factors of 9048 are 2,3,13,29. Prime factorization of 9048 in exponential form is:
9048 = 23×31×131×291
Prime Factorization of 9054
2 | 9054 |
3 | 4527 |
3 | 1509 |
503 | 503 |
1 |
Prime factors of 9054 are 2,3,503. Prime factorization of 9054 in exponential form is:
9054 = 21×32×5031
∴ So by taking common prime factors GCF of 9048 and 9054 is 6
Factors of 9048
List of positive integer factors of 9048 that divides 9048 without a remainder.
1,2,3,4,6,8,12,13,24,26,29,39,52,58,78,87,104,116,156,174,232,312,348,377,696,754,1131,1508,2262,3016,4524,9048
Factors of 9054
List of positive integer factors of 9054 that divides 9054 without a remainder.
1,2,3,6,9,18,503,1006,1509,3018,4527,9054
Greatest Common Factor
We found the factors and prime factorization of 9048 and 9054. The biggest common factor number is the GCF number.
So the greatest common factor 9048 and 9054 is 6.
Also check out the Least Common Multiple of 9048 and 9054
(i) The GCF of 9048 and 9054 is associative
GCF of 9048 and 9054 = GCF of 9054 and 9048
1. What is the GCF of 9048 and 9054?
Answer: GCF of 9048 and 9054 is 6.
2. What are the Factors of 9048?
Answer: Factors of 9048 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048. There are 32 integers that are factors of 9048. The greatest factor of 9048 is 9048.
3. What are the Factors of 9054?
Answer: Factors of 9054 are 1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527, 9054. There are 12 integers that are factors of 9054. The greatest factor of 9054 is 9054.
4. How to Find the GCF of 9048 and 9054?
Answer:
Greatest Common Factor of 9048 and 9054 = 6
Step 1: Find the prime factorization of 9048
9048 = 2 x 2 x 2 x 3 x 13 x 29
Step 2: Find the prime factorization of 9054
9054 = 2 x 3 x 3 x 503
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 9048 and 9054 is 6