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 3133, 3141 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3133 and 3141 is 1.
GCF(3133,3141) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3133
13 | 3133 |
241 | 241 |
1 |
Prime factors of 3133 are 13,241. Prime factorization of 3133 in exponential form is:
3133 = 131×2411
Prime Factorization of 3141
3 | 3141 |
3 | 1047 |
349 | 349 |
1 |
Prime factors of 3141 are 3,349. Prime factorization of 3141 in exponential form is:
3141 = 32×3491
∴ So by taking common prime factors GCF of 3133 and 3141 is 1
Factors of 3133
List of positive integer factors of 3133 that divides 3133 without a remainder.
1,13,241,3133
Factors of 3141
List of positive integer factors of 3141 that divides 3141 without a remainder.
1,3,9,349,1047,3141
Greatest Common Factor
We found the factors and prime factorization of 3133 and 3141. The biggest common factor number is the GCF number.
So the greatest common factor 3133 and 3141 is 1.
Also check out the Least Common Multiple of 3133 and 3141
(i) The GCF of 3133 and 3141 is associative
GCF of 3133 and 3141 = GCF of 3141 and 3133
1. What is the GCF of 3133 and 3141?
Answer: GCF of 3133 and 3141 is 1.
2. What are the Factors of 3133?
Answer: Factors of 3133 are 1, 13, 241, 3133. There are 4 integers that are factors of 3133. The greatest factor of 3133 is 3133.
3. What are the Factors of 3141?
Answer: Factors of 3141 are 1, 3, 9, 349, 1047, 3141. There are 6 integers that are factors of 3141. The greatest factor of 3141 is 3141.
4. How to Find the GCF of 3133 and 3141?
Answer:
Greatest Common Factor of 3133 and 3141 = 1
Step 1: Find the prime factorization of 3133
3133 = 13 x 241
Step 2: Find the prime factorization of 3141
3141 = 3 x 3 x 349
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 3133 and 3141 is 1