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 8282, 8287 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8282 and 8287 is 1.
GCF(8282,8287) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 8287
8287 | 8287 |
1 |
Prime factors of 8287 are 8287. Prime factorization of 8287 in exponential form is:
8287 = 82871
∴ So by taking common prime factors GCF of 8282 and 8287 is 1
Factors of 8282
List of positive integer factors of 8282 that divides 8282 without a remainder.
1,2,41,82,101,202,4141,8282
Factors of 8287
List of positive integer factors of 8287 that divides 8287 without a remainder.
1,8287
Greatest Common Factor
We found the factors and prime factorization of 8282 and 8287. The biggest common factor number is the GCF number.
So the greatest common factor 8282 and 8287 is 1.
Also check out the Least Common Multiple of 8282 and 8287
(i) The GCF of 8282 and 8287 is associative
GCF of 8282 and 8287 = GCF of 8287 and 8282
1. What is the GCF of 8282 and 8287?
Answer: GCF of 8282 and 8287 is 1.
2. 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.
3. What are the Factors of 8287?
Answer: Factors of 8287 are 1, 8287. There are 2 integers that are factors of 8287. The greatest factor of 8287 is 8287.
4. How to Find the GCF of 8282 and 8287?
Answer:
Greatest Common Factor of 8282 and 8287 = 1
Step 1: Find the prime factorization of 8282
8282 = 2 x 41 x 101
Step 2: Find the prime factorization of 8287
8287 = 8287
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 8282 and 8287 is 1