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 6141, 6148 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6141 and 6148 is 1.
GCF(6141,6148) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6141
3 | 6141 |
23 | 2047 |
89 | 89 |
1 |
Prime factors of 6141 are 3,23,89. Prime factorization of 6141 in exponential form is:
6141 = 31×231×891
Prime Factorization of 6148
2 | 6148 |
2 | 3074 |
29 | 1537 |
53 | 53 |
1 |
Prime factors of 6148 are 2,29,53. Prime factorization of 6148 in exponential form is:
6148 = 22×291×531
∴ So by taking common prime factors GCF of 6141 and 6148 is 1
Factors of 6141
List of positive integer factors of 6141 that divides 6141 without a remainder.
1,3,23,69,89,267,2047,6141
Factors of 6148
List of positive integer factors of 6148 that divides 6148 without a remainder.
1,2,4,29,53,58,106,116,212,1537,3074,6148
Greatest Common Factor
We found the factors and prime factorization of 6141 and 6148. The biggest common factor number is the GCF number.
So the greatest common factor 6141 and 6148 is 1.
Also check out the Least Common Multiple of 6141 and 6148
(i) The GCF of 6141 and 6148 is associative
GCF of 6141 and 6148 = GCF of 6148 and 6141
1. What is the GCF of 6141 and 6148?
Answer: GCF of 6141 and 6148 is 1.
2. What are the Factors of 6141?
Answer: Factors of 6141 are 1, 3, 23, 69, 89, 267, 2047, 6141. There are 8 integers that are factors of 6141. The greatest factor of 6141 is 6141.
3. What are the Factors of 6148?
Answer: Factors of 6148 are 1, 2, 4, 29, 53, 58, 106, 116, 212, 1537, 3074, 6148. There are 12 integers that are factors of 6148. The greatest factor of 6148 is 6148.
4. How to Find the GCF of 6141 and 6148?
Answer:
Greatest Common Factor of 6141 and 6148 = 1
Step 1: Find the prime factorization of 6141
6141 = 3 x 23 x 89
Step 2: Find the prime factorization of 6148
6148 = 2 x 2 x 29 x 53
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 6141 and 6148 is 1