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 6349, 6355 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6349 and 6355 is 1.
GCF(6349,6355) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6349
7 | 6349 |
907 | 907 |
1 |
Prime factors of 6349 are 7,907. Prime factorization of 6349 in exponential form is:
6349 = 71×9071
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
∴ So by taking common prime factors GCF of 6349 and 6355 is 1
Factors of 6349
List of positive integer factors of 6349 that divides 6349 without a remainder.
1,7,907,6349
Factors of 6355
List of positive integer factors of 6355 that divides 6355 without a remainder.
1,5,31,41,155,205,1271,6355
Greatest Common Factor
We found the factors and prime factorization of 6349 and 6355. The biggest common factor number is the GCF number.
So the greatest common factor 6349 and 6355 is 1.
Also check out the Least Common Multiple of 6349 and 6355
(i) The GCF of 6349 and 6355 is associative
GCF of 6349 and 6355 = GCF of 6355 and 6349
1. What is the GCF of 6349 and 6355?
Answer: GCF of 6349 and 6355 is 1.
2. What are the Factors of 6349?
Answer: Factors of 6349 are 1, 7, 907, 6349. There are 4 integers that are factors of 6349. The greatest factor of 6349 is 6349.
3. 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.
4. How to Find the GCF of 6349 and 6355?
Answer:
Greatest Common Factor of 6349 and 6355 = 1
Step 1: Find the prime factorization of 6349
6349 = 7 x 907
Step 2: Find the prime factorization of 6355
6355 = 5 x 31 x 41
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 6349 and 6355 is 1