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 8274, 8282 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8274 and 8282 is 2.
GCF(8274,8282) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8274
2 | 8274 |
3 | 4137 |
7 | 1379 |
197 | 197 |
1 |
Prime factors of 8274 are 2,3,7,197. Prime factorization of 8274 in exponential form is:
8274 = 21×31×71×1971
Prime Factorization of 8282
2 | 8282 |
41 | 4141 |
101 | 101 |
1 |
Prime factors of 8282 are 2,41,101. Prime factorization of 8282 in exponential form is:
8282 = 21×411×1011
∴ So by taking common prime factors GCF of 8274 and 8282 is 2
Factors of 8274
List of positive integer factors of 8274 that divides 8274 without a remainder.
1,2,3,6,7,14,21,42,197,394,591,1182,1379,2758,4137,8274
Factors of 8282
List of positive integer factors of 8282 that divides 8282 without a remainder.
1,2,41,82,101,202,4141,8282
Greatest Common Factor
We found the factors and prime factorization of 8274 and 8282. The biggest common factor number is the GCF number.
So the greatest common factor 8274 and 8282 is 2.
Also check out the Least Common Multiple of 8274 and 8282
(i) The GCF of 8274 and 8282 is associative
GCF of 8274 and 8282 = GCF of 8282 and 8274
1. What is the GCF of 8274 and 8282?
Answer: GCF of 8274 and 8282 is 2.
2. What are the Factors of 8274?
Answer: Factors of 8274 are 1, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137, 8274. There are 16 integers that are factors of 8274. The greatest factor of 8274 is 8274.
3. What are the Factors of 8282?
Answer: Factors of 8282 are 1, 2, 41, 82, 101, 202, 4141, 8282. There are 8 integers that are factors of 8282. The greatest factor of 8282 is 8282.
4. How to Find the GCF of 8274 and 8282?
Answer:
Greatest Common Factor of 8274 and 8282 = 2
Step 1: Find the prime factorization of 8274
8274 = 2 x 3 x 7 x 197
Step 2: Find the prime factorization of 8282
8282 = 2 x 41 x 101
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 8274 and 8282 is 2