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 6142, 6143 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6142 and 6143 is 1.
GCF(6142,6143) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6142
2 | 6142 |
37 | 3071 |
83 | 83 |
1 |
Prime factors of 6142 are 2,37,83. Prime factorization of 6142 in exponential form is:
6142 = 21×371×831
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 6142 and 6143 is 1
Factors of 6142
List of positive integer factors of 6142 that divides 6142 without a remainder.
1,2,37,74,83,166,3071,6142
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 6142 and 6143. The biggest common factor number is the GCF number.
So the greatest common factor 6142 and 6143 is 1.
Also check out the Least Common Multiple of 6142 and 6143
(i) The GCF of 6142 and 6143 is associative
GCF of 6142 and 6143 = GCF of 6143 and 6142
1. What is the GCF of 6142 and 6143?
Answer: GCF of 6142 and 6143 is 1.
2. What are the Factors of 6142?
Answer: Factors of 6142 are 1, 2, 37, 74, 83, 166, 3071, 6142. There are 8 integers that are factors of 6142. The greatest factor of 6142 is 6142.
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 6142 and 6143?
Answer:
Greatest Common Factor of 6142 and 6143 = 1
Step 1: Find the prime factorization of 6142
6142 = 2 x 37 x 83
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 6142 and 6143 is 1