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 8324, 8325 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8324 and 8325 is 1.
GCF(8324,8325) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8324
2 | 8324 |
2 | 4162 |
2081 | 2081 |
1 |
Prime factors of 8324 are 2,2081. Prime factorization of 8324 in exponential form is:
8324 = 22×20811
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
∴ So by taking common prime factors GCF of 8324 and 8325 is 1
Factors of 8324
List of positive integer factors of 8324 that divides 8324 without a remainder.
1,2,4,2081,4162,8324
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
Greatest Common Factor
We found the factors and prime factorization of 8324 and 8325. The biggest common factor number is the GCF number.
So the greatest common factor 8324 and 8325 is 1.
Also check out the Least Common Multiple of 8324 and 8325
(i) The GCF of 8324 and 8325 is associative
GCF of 8324 and 8325 = GCF of 8325 and 8324
1. What is the GCF of 8324 and 8325?
Answer: GCF of 8324 and 8325 is 1.
2. What are the Factors of 8324?
Answer: Factors of 8324 are 1, 2, 4, 2081, 4162, 8324. There are 6 integers that are factors of 8324. The greatest factor of 8324 is 8324.
3. 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.
4. How to Find the GCF of 8324 and 8325?
Answer:
Greatest Common Factor of 8324 and 8325 = 1
Step 1: Find the prime factorization of 8324
8324 = 2 x 2 x 2081
Step 2: Find the prime factorization of 8325
8325 = 3 x 3 x 5 x 5 x 37
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 8324 and 8325 is 1