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 4129, 4131 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4129 and 4131 is 1.
GCF(4129,4131) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4129
4129 | 4129 |
1 |
Prime factors of 4129 are 4129. Prime factorization of 4129 in exponential form is:
4129 = 41291
Prime Factorization of 4131
3 | 4131 |
3 | 1377 |
3 | 459 |
3 | 153 |
3 | 51 |
17 | 17 |
1 |
Prime factors of 4131 are 3.Prime factorization of 4131 in exponential form is:
4131 = 35×171
∴ So by taking common prime factors GCF of 4129 and 4131 is 1
Factors of 4129
List of positive integer factors of 4129 that divides 4129 without a remainder.
1,4129
Factors of 4131
List of positive integer factors of 4131 that divides 4131 without a remainder.
1,3,9,17,27,51,81,153,243,459,1377,4131
Greatest Common Factor
We found the factors and prime factorization of 4129 and 4131. The biggest common factor number is the GCF number.
So the greatest common factor 4129 and 4131 is 1.
Also check out the Least Common Multiple of 4129 and 4131
(i) The GCF of 4129 and 4131 is associative
GCF of 4129 and 4131 = GCF of 4131 and 4129
1. What is the GCF of 4129 and 4131?
Answer: GCF of 4129 and 4131 is 1.
2. What are the Factors of 4129?
Answer: Factors of 4129 are 1, 4129. There are 2 integers that are factors of 4129. The greatest factor of 4129 is 4129.
3. What are the Factors of 4131?
Answer: Factors of 4131 are 1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131. There are 12 integers that are factors of 4131. The greatest factor of 4131 is 4131.
4. How to Find the GCF of 4129 and 4131?
Answer:
Greatest Common Factor of 4129 and 4131 = 1
Step 1: Find the prime factorization of 4129
4129 = 4129
Step 2: Find the prime factorization of 4131
4131 = 3 x 3 x 3 x 3 x 3 x 17
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 4129 and 4131 is 1