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 6138, 6143 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6138 and 6143 is 1.
GCF(6138,6143) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6138
2 | 6138 |
3 | 3069 |
3 | 1023 |
11 | 341 |
31 | 31 |
1 |
Prime factors of 6138 are 2,3,11,31. Prime factorization of 6138 in exponential form is:
6138 = 21×32×111×311
Prime Factorization of 6143
6143 | 6143 |
1 |
Prime factors of 6143 are 6143. Prime factorization of 6143 in exponential form is:
6143 = 61431
∴ So by taking common prime factors GCF of 6138 and 6143 is 1
Factors of 6138
List of positive integer factors of 6138 that divides 6138 without a remainder.
1,2,3,6,9,11,18,22,31,33,62,66,93,99,186,198,279,341,558,682,1023,2046,3069,6138
Factors of 6143
List of positive integer factors of 6143 that divides 6143 without a remainder.
1,6143
Greatest Common Factor
We found the factors and prime factorization of 6138 and 6143. The biggest common factor number is the GCF number.
So the greatest common factor 6138 and 6143 is 1.
Also check out the Least Common Multiple of 6138 and 6143
(i) The GCF of 6138 and 6143 is associative
GCF of 6138 and 6143 = GCF of 6143 and 6138
1. What is the GCF of 6138 and 6143?
Answer: GCF of 6138 and 6143 is 1.
2. What are the Factors of 6138?
Answer: Factors of 6138 are 1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069, 6138. There are 24 integers that are factors of 6138. The greatest factor of 6138 is 6138.
3. What are the Factors of 6143?
Answer: Factors of 6143 are 1, 6143. There are 2 integers that are factors of 6143. The greatest factor of 6143 is 6143.
4. How to Find the GCF of 6138 and 6143?
Answer:
Greatest Common Factor of 6138 and 6143 = 1
Step 1: Find the prime factorization of 6138
6138 = 2 x 3 x 3 x 11 x 31
Step 2: Find the prime factorization of 6143
6143 = 6143
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 6138 and 6143 is 1