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, 6150 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6142 and 6150 is 2.
GCF(6142,6150) = 2
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 6150
2 | 6150 |
3 | 3075 |
5 | 1025 |
5 | 205 |
41 | 41 |
1 |
Prime factors of 6150 are 2,3,5,41. Prime factorization of 6150 in exponential form is:
6150 = 21×31×52×411
∴ So by taking common prime factors GCF of 6142 and 6150 is 2
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 6150
List of positive integer factors of 6150 that divides 6150 without a remainder.
1,2,3,5,6,10,15,25,30,41,50,75,82,123,150,205,246,410,615,1025,1230,2050,3075,6150
Greatest Common Factor
We found the factors and prime factorization of 6142 and 6150. The biggest common factor number is the GCF number.
So the greatest common factor 6142 and 6150 is 2.
Also check out the Least Common Multiple of 6142 and 6150
(i) The GCF of 6142 and 6150 is associative
GCF of 6142 and 6150 = GCF of 6150 and 6142
1. What is the GCF of 6142 and 6150?
Answer: GCF of 6142 and 6150 is 2.
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 6150?
Answer: Factors of 6150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 150, 205, 246, 410, 615, 1025, 1230, 2050, 3075, 6150. There are 24 integers that are factors of 6150. The greatest factor of 6150 is 6150.
4. How to Find the GCF of 6142 and 6150?
Answer:
Greatest Common Factor of 6142 and 6150 = 2
Step 1: Find the prime factorization of 6142
6142 = 2 x 37 x 83
Step 2: Find the prime factorization of 6150
6150 = 2 x 3 x 5 x 5 x 41
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 6142 and 6150 is 2