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 6342, 6349 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6342 and 6349 is 7.
GCF(6342,6349) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6342
2 | 6342 |
3 | 3171 |
7 | 1057 |
151 | 151 |
1 |
Prime factors of 6342 are 2,3,7,151. Prime factorization of 6342 in exponential form is:
6342 = 21×31×71×1511
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
∴ So by taking common prime factors GCF of 6342 and 6349 is 7
Factors of 6342
List of positive integer factors of 6342 that divides 6342 without a remainder.
1,2,3,6,7,14,21,42,151,302,453,906,1057,2114,3171,6342
Factors of 6349
List of positive integer factors of 6349 that divides 6349 without a remainder.
1,7,907,6349
Greatest Common Factor
We found the factors and prime factorization of 6342 and 6349. The biggest common factor number is the GCF number.
So the greatest common factor 6342 and 6349 is 7.
Also check out the Least Common Multiple of 6342 and 6349
(i) The GCF of 6342 and 6349 is associative
GCF of 6342 and 6349 = GCF of 6349 and 6342
1. What is the GCF of 6342 and 6349?
Answer: GCF of 6342 and 6349 is 7.
2. What are the Factors of 6342?
Answer: Factors of 6342 are 1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342. There are 16 integers that are factors of 6342. The greatest factor of 6342 is 6342.
3. 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.
4. How to Find the GCF of 6342 and 6349?
Answer:
Greatest Common Factor of 6342 and 6349 = 7
Step 1: Find the prime factorization of 6342
6342 = 2 x 3 x 7 x 151
Step 2: Find the prime factorization of 6349
6349 = 7 x 907
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 6342 and 6349 is 7