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 6303, 6310 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6303 and 6310 is 1.
GCF(6303,6310) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6303
3 | 6303 |
11 | 2101 |
191 | 191 |
1 |
Prime factors of 6303 are 3,11,191. Prime factorization of 6303 in exponential form is:
6303 = 31×111×1911
Prime Factorization of 6310
2 | 6310 |
5 | 3155 |
631 | 631 |
1 |
Prime factors of 6310 are 2,5,631. Prime factorization of 6310 in exponential form is:
6310 = 21×51×6311
∴ So by taking common prime factors GCF of 6303 and 6310 is 1
Factors of 6303
List of positive integer factors of 6303 that divides 6303 without a remainder.
1,3,11,33,191,573,2101,6303
Factors of 6310
List of positive integer factors of 6310 that divides 6310 without a remainder.
1,2,5,10,631,1262,3155,6310
Greatest Common Factor
We found the factors and prime factorization of 6303 and 6310. The biggest common factor number is the GCF number.
So the greatest common factor 6303 and 6310 is 1.
Also check out the Least Common Multiple of 6303 and 6310
(i) The GCF of 6303 and 6310 is associative
GCF of 6303 and 6310 = GCF of 6310 and 6303
1. What is the GCF of 6303 and 6310?
Answer: GCF of 6303 and 6310 is 1.
2. What are the Factors of 6303?
Answer: Factors of 6303 are 1, 3, 11, 33, 191, 573, 2101, 6303. There are 8 integers that are factors of 6303. The greatest factor of 6303 is 6303.
3. What are the Factors of 6310?
Answer: Factors of 6310 are 1, 2, 5, 10, 631, 1262, 3155, 6310. There are 8 integers that are factors of 6310. The greatest factor of 6310 is 6310.
4. How to Find the GCF of 6303 and 6310?
Answer:
Greatest Common Factor of 6303 and 6310 = 1
Step 1: Find the prime factorization of 6303
6303 = 3 x 11 x 191
Step 2: Find the prime factorization of 6310
6310 = 2 x 5 x 631
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 6303 and 6310 is 1