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 9047, 9048 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9047 and 9048 is 1.
GCF(9047,9048) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
∴ So by taking common prime factors GCF of 9047 and 9048 is 1
Factors of 9047
List of positive integer factors of 9047 that divides 9047 without a remainder.
1,83,109,9047
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
Greatest Common Factor
We found the factors and prime factorization of 9047 and 9048. The biggest common factor number is the GCF number.
So the greatest common factor 9047 and 9048 is 1.
Also check out the Least Common Multiple of 9047 and 9048
(i) The GCF of 9047 and 9048 is associative
GCF of 9047 and 9048 = GCF of 9048 and 9047
1. What is the GCF of 9047 and 9048?
Answer: GCF of 9047 and 9048 is 1.
2. 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.
3. 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.
4. How to Find the GCF of 9047 and 9048?
Answer:
Greatest Common Factor of 9047 and 9048 = 1
Step 1: Find the prime factorization of 9047
9047 = 83 x 109
Step 2: Find the prime factorization of 9048
9048 = 2 x 2 x 2 x 3 x 13 x 29
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 9047 and 9048 is 1