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 5134, 5141 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5134 and 5141 is 1.
GCF(5134,5141) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5134
2 | 5134 |
17 | 2567 |
151 | 151 |
1 |
Prime factors of 5134 are 2,17,151. Prime factorization of 5134 in exponential form is:
5134 = 21×171×1511
Prime Factorization of 5141
53 | 5141 |
97 | 97 |
1 |
Prime factors of 5141 are 53,97. Prime factorization of 5141 in exponential form is:
5141 = 531×971
∴ So by taking common prime factors GCF of 5134 and 5141 is 1
Factors of 5134
List of positive integer factors of 5134 that divides 5134 without a remainder.
1,2,17,34,151,302,2567,5134
Factors of 5141
List of positive integer factors of 5141 that divides 5141 without a remainder.
1,53,97,5141
Greatest Common Factor
We found the factors and prime factorization of 5134 and 5141. The biggest common factor number is the GCF number.
So the greatest common factor 5134 and 5141 is 1.
Also check out the Least Common Multiple of 5134 and 5141
(i) The GCF of 5134 and 5141 is associative
GCF of 5134 and 5141 = GCF of 5141 and 5134
1. What is the GCF of 5134 and 5141?
Answer: GCF of 5134 and 5141 is 1.
2. What are the Factors of 5134?
Answer: Factors of 5134 are 1, 2, 17, 34, 151, 302, 2567, 5134. There are 8 integers that are factors of 5134. The greatest factor of 5134 is 5134.
3. What are the Factors of 5141?
Answer: Factors of 5141 are 1, 53, 97, 5141. There are 4 integers that are factors of 5141. The greatest factor of 5141 is 5141.
4. How to Find the GCF of 5134 and 5141?
Answer:
Greatest Common Factor of 5134 and 5141 = 1
Step 1: Find the prime factorization of 5134
5134 = 2 x 17 x 151
Step 2: Find the prime factorization of 5141
5141 = 53 x 97
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 5134 and 5141 is 1