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 4125, 4129 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4125 and 4129 is 1.
GCF(4125,4129) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4125
3 | 4125 |
5 | 1375 |
5 | 275 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 4125 are 3,5,11. Prime factorization of 4125 in exponential form is:
4125 = 31×53×111
Prime Factorization of 4129
4129 | 4129 |
1 |
Prime factors of 4129 are 4129. Prime factorization of 4129 in exponential form is:
4129 = 41291
∴ So by taking common prime factors GCF of 4125 and 4129 is 1
Factors of 4125
List of positive integer factors of 4125 that divides 4125 without a remainder.
1,3,5,11,15,25,33,55,75,125,165,275,375,825,1375,4125
Factors of 4129
List of positive integer factors of 4129 that divides 4129 without a remainder.
1,4129
Greatest Common Factor
We found the factors and prime factorization of 4125 and 4129. The biggest common factor number is the GCF number.
So the greatest common factor 4125 and 4129 is 1.
Also check out the Least Common Multiple of 4125 and 4129
(i) The GCF of 4125 and 4129 is associative
GCF of 4125 and 4129 = GCF of 4129 and 4125
1. What is the GCF of 4125 and 4129?
Answer: GCF of 4125 and 4129 is 1.
2. What are the Factors of 4125?
Answer: Factors of 4125 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 125, 165, 275, 375, 825, 1375, 4125. There are 16 integers that are factors of 4125. The greatest factor of 4125 is 4125.
3. 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.
4. How to Find the GCF of 4125 and 4129?
Answer:
Greatest Common Factor of 4125 and 4129 = 1
Step 1: Find the prime factorization of 4125
4125 = 3 x 5 x 5 x 5 x 11
Step 2: Find the prime factorization of 4129
4129 = 4129
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 4125 and 4129 is 1