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 6355, 6363 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6355 and 6363 is 1.
GCF(6355,6363) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6355
5 | 6355 |
31 | 1271 |
41 | 41 |
1 |
Prime factors of 6355 are 5,31,41. Prime factorization of 6355 in exponential form is:
6355 = 51×311×411
Prime Factorization of 6363
3 | 6363 |
3 | 2121 |
7 | 707 |
101 | 101 |
1 |
Prime factors of 6363 are 3,7,101. Prime factorization of 6363 in exponential form is:
6363 = 32×71×1011
∴ So by taking common prime factors GCF of 6355 and 6363 is 1
Factors of 6355
List of positive integer factors of 6355 that divides 6355 without a remainder.
1,5,31,41,155,205,1271,6355
Factors of 6363
List of positive integer factors of 6363 that divides 6363 without a remainder.
1,3,7,9,21,63,101,303,707,909,2121,6363
Greatest Common Factor
We found the factors and prime factorization of 6355 and 6363. The biggest common factor number is the GCF number.
So the greatest common factor 6355 and 6363 is 1.
Also check out the Least Common Multiple of 6355 and 6363
(i) The GCF of 6355 and 6363 is associative
GCF of 6355 and 6363 = GCF of 6363 and 6355
1. What is the GCF of 6355 and 6363?
Answer: GCF of 6355 and 6363 is 1.
2. What are the Factors of 6355?
Answer: Factors of 6355 are 1, 5, 31, 41, 155, 205, 1271, 6355. There are 8 integers that are factors of 6355. The greatest factor of 6355 is 6355.
3. What are the Factors of 6363?
Answer: Factors of 6363 are 1, 3, 7, 9, 21, 63, 101, 303, 707, 909, 2121, 6363. There are 12 integers that are factors of 6363. The greatest factor of 6363 is 6363.
4. How to Find the GCF of 6355 and 6363?
Answer:
Greatest Common Factor of 6355 and 6363 = 1
Step 1: Find the prime factorization of 6355
6355 = 5 x 31 x 41
Step 2: Find the prime factorization of 6363
6363 = 3 x 3 x 7 x 101
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 6355 and 6363 is 1