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 9483, 9490 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9483 and 9490 is 1.
GCF(9483,9490) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9483
3 | 9483 |
29 | 3161 |
109 | 109 |
1 |
Prime factors of 9483 are 3,29,109. Prime factorization of 9483 in exponential form is:
9483 = 31×291×1091
Prime Factorization of 9490
2 | 9490 |
5 | 4745 |
13 | 949 |
73 | 73 |
1 |
Prime factors of 9490 are 2,5,13,73. Prime factorization of 9490 in exponential form is:
9490 = 21×51×131×731
∴ So by taking common prime factors GCF of 9483 and 9490 is 1
Factors of 9483
List of positive integer factors of 9483 that divides 9483 without a remainder.
1,3,29,87,109,327,3161,9483
Factors of 9490
List of positive integer factors of 9490 that divides 9490 without a remainder.
1,2,5,10,13,26,65,73,130,146,365,730,949,1898,4745,9490
Greatest Common Factor
We found the factors and prime factorization of 9483 and 9490. The biggest common factor number is the GCF number.
So the greatest common factor 9483 and 9490 is 1.
Also check out the Least Common Multiple of 9483 and 9490
(i) The GCF of 9483 and 9490 is associative
GCF of 9483 and 9490 = GCF of 9490 and 9483
1. What is the GCF of 9483 and 9490?
Answer: GCF of 9483 and 9490 is 1.
2. What are the Factors of 9483?
Answer: Factors of 9483 are 1, 3, 29, 87, 109, 327, 3161, 9483. There are 8 integers that are factors of 9483. The greatest factor of 9483 is 9483.
3. What are the Factors of 9490?
Answer: Factors of 9490 are 1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, 9490. There are 16 integers that are factors of 9490. The greatest factor of 9490 is 9490.
4. How to Find the GCF of 9483 and 9490?
Answer:
Greatest Common Factor of 9483 and 9490 = 1
Step 1: Find the prime factorization of 9483
9483 = 3 x 29 x 109
Step 2: Find the prime factorization of 9490
9490 = 2 x 5 x 13 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 9483 and 9490 is 1