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 8331, 8332 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8331 and 8332 is 1.
GCF(8331,8332) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8331
3 | 8331 |
2777 | 2777 |
1 |
Prime factors of 8331 are 3,2777. Prime factorization of 8331 in exponential form is:
8331 = 31×27771
Prime Factorization of 8332
2 | 8332 |
2 | 4166 |
2083 | 2083 |
1 |
Prime factors of 8332 are 2,2083. Prime factorization of 8332 in exponential form is:
8332 = 22×20831
∴ So by taking common prime factors GCF of 8331 and 8332 is 1
Factors of 8331
List of positive integer factors of 8331 that divides 8331 without a remainder.
1,3,2777,8331
Factors of 8332
List of positive integer factors of 8332 that divides 8332 without a remainder.
1,2,4,2083,4166,8332
Greatest Common Factor
We found the factors and prime factorization of 8331 and 8332. The biggest common factor number is the GCF number.
So the greatest common factor 8331 and 8332 is 1.
Also check out the Least Common Multiple of 8331 and 8332
(i) The GCF of 8331 and 8332 is associative
GCF of 8331 and 8332 = GCF of 8332 and 8331
1. What is the GCF of 8331 and 8332?
Answer: GCF of 8331 and 8332 is 1.
2. What are the Factors of 8331?
Answer: Factors of 8331 are 1, 3, 2777, 8331. There are 4 integers that are factors of 8331. The greatest factor of 8331 is 8331.
3. What are the Factors of 8332?
Answer: Factors of 8332 are 1, 2, 4, 2083, 4166, 8332. There are 6 integers that are factors of 8332. The greatest factor of 8332 is 8332.
4. How to Find the GCF of 8331 and 8332?
Answer:
Greatest Common Factor of 8331 and 8332 = 1
Step 1: Find the prime factorization of 8331
8331 = 3 x 2777
Step 2: Find the prime factorization of 8332
8332 = 2 x 2 x 2083
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 8331 and 8332 is 1