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 7134, 7141 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7134 and 7141 is 1.
GCF(7134,7141) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7134
2 | 7134 |
3 | 3567 |
29 | 1189 |
41 | 41 |
1 |
Prime factors of 7134 are 2,3,29,41. Prime factorization of 7134 in exponential form is:
7134 = 21×31×291×411
Prime Factorization of 7141
37 | 7141 |
193 | 193 |
1 |
Prime factors of 7141 are 37,193. Prime factorization of 7141 in exponential form is:
7141 = 371×1931
∴ So by taking common prime factors GCF of 7134 and 7141 is 1
Factors of 7134
List of positive integer factors of 7134 that divides 7134 without a remainder.
1,2,3,6,29,41,58,82,87,123,174,246,1189,2378,3567,7134
Factors of 7141
List of positive integer factors of 7141 that divides 7141 without a remainder.
1,37,193,7141
Greatest Common Factor
We found the factors and prime factorization of 7134 and 7141. The biggest common factor number is the GCF number.
So the greatest common factor 7134 and 7141 is 1.
Also check out the Least Common Multiple of 7134 and 7141
(i) The GCF of 7134 and 7141 is associative
GCF of 7134 and 7141 = GCF of 7141 and 7134
1. What is the GCF of 7134 and 7141?
Answer: GCF of 7134 and 7141 is 1.
2. What are the Factors of 7134?
Answer: Factors of 7134 are 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134. There are 16 integers that are factors of 7134. The greatest factor of 7134 is 7134.
3. What are the Factors of 7141?
Answer: Factors of 7141 are 1, 37, 193, 7141. There are 4 integers that are factors of 7141. The greatest factor of 7141 is 7141.
4. How to Find the GCF of 7134 and 7141?
Answer:
Greatest Common Factor of 7134 and 7141 = 1
Step 1: Find the prime factorization of 7134
7134 = 2 x 3 x 29 x 41
Step 2: Find the prime factorization of 7141
7141 = 37 x 193
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 7134 and 7141 is 1