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 9482, 9486 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9482 and 9486 is 2.
GCF(9482,9486) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9486
2 | 9486 |
3 | 4743 |
3 | 1581 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 9486 are 2,3,17,31. Prime factorization of 9486 in exponential form is:
9486 = 21×32×171×311
∴ So by taking common prime factors GCF of 9482 and 9486 is 2
Factors of 9482
List of positive integer factors of 9482 that divides 9482 without a remainder.
1,2,11,22,431,862,4741,9482
Factors of 9486
List of positive integer factors of 9486 that divides 9486 without a remainder.
1,2,3,6,9,17,18,31,34,51,62,93,102,153,186,279,306,527,558,1054,1581,3162,4743,9486
Greatest Common Factor
We found the factors and prime factorization of 9482 and 9486. The biggest common factor number is the GCF number.
So the greatest common factor 9482 and 9486 is 2.
Also check out the Least Common Multiple of 9482 and 9486
(i) The GCF of 9482 and 9486 is associative
GCF of 9482 and 9486 = GCF of 9486 and 9482
1. What is the GCF of 9482 and 9486?
Answer: GCF of 9482 and 9486 is 2.
2. 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.
3. What are the Factors of 9486?
Answer: Factors of 9486 are 1, 2, 3, 6, 9, 17, 18, 31, 34, 51, 62, 93, 102, 153, 186, 279, 306, 527, 558, 1054, 1581, 3162, 4743, 9486. There are 24 integers that are factors of 9486. The greatest factor of 9486 is 9486.
4. How to Find the GCF of 9482 and 9486?
Answer:
Greatest Common Factor of 9482 and 9486 = 2
Step 1: Find the prime factorization of 9482
9482 = 2 x 11 x 431
Step 2: Find the prime factorization of 9486
9486 = 2 x 3 x 3 x 17 x 31
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 9482 and 9486 is 2