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 8325, 8327 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8325 and 8327 is 1.
GCF(8325,8327) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8325
3 | 8325 |
3 | 2775 |
5 | 925 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 8325 are 3,5,37. Prime factorization of 8325 in exponential form is:
8325 = 32×52×371
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 8325 and 8327 is 1
Factors of 8325
List of positive integer factors of 8325 that divides 8325 without a remainder.
1,3,5,9,15,25,37,45,75,111,185,225,333,555,925,1665,2775,8325
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 8325 and 8327. The biggest common factor number is the GCF number.
So the greatest common factor 8325 and 8327 is 1.
Also check out the Least Common Multiple of 8325 and 8327
(i) The GCF of 8325 and 8327 is associative
GCF of 8325 and 8327 = GCF of 8327 and 8325
1. What is the GCF of 8325 and 8327?
Answer: GCF of 8325 and 8327 is 1.
2. What are the Factors of 8325?
Answer: Factors of 8325 are 1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 185, 225, 333, 555, 925, 1665, 2775, 8325. There are 18 integers that are factors of 8325. The greatest factor of 8325 is 8325.
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 8325 and 8327?
Answer:
Greatest Common Factor of 8325 and 8327 = 1
Step 1: Find the prime factorization of 8325
8325 = 3 x 3 x 5 x 5 x 37
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 8325 and 8327 is 1