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 9476, 9482 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9476 and 9482 is 2.
GCF(9476,9482) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9476
2 | 9476 |
2 | 4738 |
23 | 2369 |
103 | 103 |
1 |
Prime factors of 9476 are 2,23,103. Prime factorization of 9476 in exponential form is:
9476 = 22×231×1031
Prime Factorization of 9482
2 | 9482 |
11 | 4741 |
431 | 431 |
1 |
Prime factors of 9482 are 2,11,431. Prime factorization of 9482 in exponential form is:
9482 = 21×111×4311
∴ So by taking common prime factors GCF of 9476 and 9482 is 2
Factors of 9476
List of positive integer factors of 9476 that divides 9476 without a remainder.
1,2,4,23,46,92,103,206,412,2369,4738,9476
Factors of 9482
List of positive integer factors of 9482 that divides 9482 without a remainder.
1,2,11,22,431,862,4741,9482
Greatest Common Factor
We found the factors and prime factorization of 9476 and 9482. The biggest common factor number is the GCF number.
So the greatest common factor 9476 and 9482 is 2.
Also check out the Least Common Multiple of 9476 and 9482
(i) The GCF of 9476 and 9482 is associative
GCF of 9476 and 9482 = GCF of 9482 and 9476
1. What is the GCF of 9476 and 9482?
Answer: GCF of 9476 and 9482 is 2.
2. What are the Factors of 9476?
Answer: Factors of 9476 are 1, 2, 4, 23, 46, 92, 103, 206, 412, 2369, 4738, 9476. There are 12 integers that are factors of 9476. The greatest factor of 9476 is 9476.
3. What are the Factors of 9482?
Answer: Factors of 9482 are 1, 2, 11, 22, 431, 862, 4741, 9482. There are 8 integers that are factors of 9482. The greatest factor of 9482 is 9482.
4. How to Find the GCF of 9476 and 9482?
Answer:
Greatest Common Factor of 9476 and 9482 = 2
Step 1: Find the prime factorization of 9476
9476 = 2 x 2 x 23 x 103
Step 2: Find the prime factorization of 9482
9482 = 2 x 11 x 431
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9476 and 9482 is 2