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 8322, 8327 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8322 and 8327 is 1.
GCF(8322,8327) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8322
2 | 8322 |
3 | 4161 |
19 | 1387 |
73 | 73 |
1 |
Prime factors of 8322 are 2,3,19,73. Prime factorization of 8322 in exponential form is:
8322 = 21×31×191×731
Prime Factorization of 8327
11 | 8327 |
757 | 757 |
1 |
Prime factors of 8327 are 11,757. Prime factorization of 8327 in exponential form is:
8327 = 111×7571
∴ So by taking common prime factors GCF of 8322 and 8327 is 1
Factors of 8322
List of positive integer factors of 8322 that divides 8322 without a remainder.
1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322
Factors of 8327
List of positive integer factors of 8327 that divides 8327 without a remainder.
1,11,757,8327
Greatest Common Factor
We found the factors and prime factorization of 8322 and 8327. The biggest common factor number is the GCF number.
So the greatest common factor 8322 and 8327 is 1.
Also check out the Least Common Multiple of 8322 and 8327
(i) The GCF of 8322 and 8327 is associative
GCF of 8322 and 8327 = GCF of 8327 and 8322
1. What is the GCF of 8322 and 8327?
Answer: GCF of 8322 and 8327 is 1.
2. What are the Factors of 8322?
Answer: Factors of 8322 are 1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322. There are 16 integers that are factors of 8322. The greatest factor of 8322 is 8322.
3. What are the Factors of 8327?
Answer: Factors of 8327 are 1, 11, 757, 8327. There are 4 integers that are factors of 8327. The greatest factor of 8327 is 8327.
4. How to Find the GCF of 8322 and 8327?
Answer:
Greatest Common Factor of 8322 and 8327 = 1
Step 1: Find the prime factorization of 8322
8322 = 2 x 3 x 19 x 73
Step 2: Find the prime factorization of 8327
8327 = 11 x 757
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 8322 and 8327 is 1