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 6129, 6137 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6129 and 6137 is 1.
GCF(6129,6137) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6129
3 | 6129 |
3 | 2043 |
3 | 681 |
227 | 227 |
1 |
Prime factors of 6129 are 3,227. Prime factorization of 6129 in exponential form is:
6129 = 33×2271
Prime Factorization of 6137
17 | 6137 |
19 | 361 |
19 | 19 |
1 |
Prime factors of 6137 are 17,19. Prime factorization of 6137 in exponential form is:
6137 = 171×192
∴ So by taking common prime factors GCF of 6129 and 6137 is 1
Factors of 6129
List of positive integer factors of 6129 that divides 6129 without a remainder.
1,3,9,27,227,681,2043,6129
Factors of 6137
List of positive integer factors of 6137 that divides 6137 without a remainder.
1,17,19,323,361,6137
Greatest Common Factor
We found the factors and prime factorization of 6129 and 6137. The biggest common factor number is the GCF number.
So the greatest common factor 6129 and 6137 is 1.
Also check out the Least Common Multiple of 6129 and 6137
(i) The GCF of 6129 and 6137 is associative
GCF of 6129 and 6137 = GCF of 6137 and 6129
1. What is the GCF of 6129 and 6137?
Answer: GCF of 6129 and 6137 is 1.
2. What are the Factors of 6129?
Answer: Factors of 6129 are 1, 3, 9, 27, 227, 681, 2043, 6129. There are 8 integers that are factors of 6129. The greatest factor of 6129 is 6129.
3. What are the Factors of 6137?
Answer: Factors of 6137 are 1, 17, 19, 323, 361, 6137. There are 6 integers that are factors of 6137. The greatest factor of 6137 is 6137.
4. How to Find the GCF of 6129 and 6137?
Answer:
Greatest Common Factor of 6129 and 6137 = 1
Step 1: Find the prime factorization of 6129
6129 = 3 x 3 x 3 x 227
Step 2: Find the prime factorization of 6137
6137 = 17 x 19 x 19
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 6129 and 6137 is 1