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 7482, 7486 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7482 and 7486 is 2.
GCF(7482,7486) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7482
2 | 7482 |
3 | 3741 |
29 | 1247 |
43 | 43 |
1 |
Prime factors of 7482 are 2,3,29,43. Prime factorization of 7482 in exponential form is:
7482 = 21×31×291×431
Prime Factorization of 7486
2 | 7486 |
19 | 3743 |
197 | 197 |
1 |
Prime factors of 7486 are 2,19,197. Prime factorization of 7486 in exponential form is:
7486 = 21×191×1971
∴ So by taking common prime factors GCF of 7482 and 7486 is 2
Factors of 7482
List of positive integer factors of 7482 that divides 7482 without a remainder.
1,2,3,6,29,43,58,86,87,129,174,258,1247,2494,3741,7482
Factors of 7486
List of positive integer factors of 7486 that divides 7486 without a remainder.
1,2,19,38,197,394,3743,7486
Greatest Common Factor
We found the factors and prime factorization of 7482 and 7486. The biggest common factor number is the GCF number.
So the greatest common factor 7482 and 7486 is 2.
Also check out the Least Common Multiple of 7482 and 7486
(i) The GCF of 7482 and 7486 is associative
GCF of 7482 and 7486 = GCF of 7486 and 7482
1. What is the GCF of 7482 and 7486?
Answer: GCF of 7482 and 7486 is 2.
2. What are the Factors of 7482?
Answer: Factors of 7482 are 1, 2, 3, 6, 29, 43, 58, 86, 87, 129, 174, 258, 1247, 2494, 3741, 7482. There are 16 integers that are factors of 7482. The greatest factor of 7482 is 7482.
3. What are the Factors of 7486?
Answer: Factors of 7486 are 1, 2, 19, 38, 197, 394, 3743, 7486. There are 8 integers that are factors of 7486. The greatest factor of 7486 is 7486.
4. How to Find the GCF of 7482 and 7486?
Answer:
Greatest Common Factor of 7482 and 7486 = 2
Step 1: Find the prime factorization of 7482
7482 = 2 x 3 x 29 x 43
Step 2: Find the prime factorization of 7486
7486 = 2 x 19 x 197
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 7482 and 7486 is 2