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 6325, 6331 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6325 and 6331 is 1.
GCF(6325,6331) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6325
5 | 6325 |
5 | 1265 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 6325 are 5,11,23. Prime factorization of 6325 in exponential form is:
6325 = 52×111×231
Prime Factorization of 6331
13 | 6331 |
487 | 487 |
1 |
Prime factors of 6331 are 13,487. Prime factorization of 6331 in exponential form is:
6331 = 131×4871
∴ So by taking common prime factors GCF of 6325 and 6331 is 1
Factors of 6325
List of positive integer factors of 6325 that divides 6325 without a remainder.
1,5,11,23,25,55,115,253,275,575,1265,6325
Factors of 6331
List of positive integer factors of 6331 that divides 6331 without a remainder.
1,13,487,6331
Greatest Common Factor
We found the factors and prime factorization of 6325 and 6331. The biggest common factor number is the GCF number.
So the greatest common factor 6325 and 6331 is 1.
Also check out the Least Common Multiple of 6325 and 6331
(i) The GCF of 6325 and 6331 is associative
GCF of 6325 and 6331 = GCF of 6331 and 6325
1. What is the GCF of 6325 and 6331?
Answer: GCF of 6325 and 6331 is 1.
2. What are the Factors of 6325?
Answer: Factors of 6325 are 1, 5, 11, 23, 25, 55, 115, 253, 275, 575, 1265, 6325. There are 12 integers that are factors of 6325. The greatest factor of 6325 is 6325.
3. What are the Factors of 6331?
Answer: Factors of 6331 are 1, 13, 487, 6331. There are 4 integers that are factors of 6331. The greatest factor of 6331 is 6331.
4. How to Find the GCF of 6325 and 6331?
Answer:
Greatest Common Factor of 6325 and 6331 = 1
Step 1: Find the prime factorization of 6325
6325 = 5 x 5 x 11 x 23
Step 2: Find the prime factorization of 6331
6331 = 13 x 487
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 6325 and 6331 is 1