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 4117, 4125 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4117 and 4125 is 1.
GCF(4117,4125) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4117
23 | 4117 |
179 | 179 |
1 |
Prime factors of 4117 are 23,179. Prime factorization of 4117 in exponential form is:
4117 = 231×1791
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
∴ So by taking common prime factors GCF of 4117 and 4125 is 1
Factors of 4117
List of positive integer factors of 4117 that divides 4117 without a remainder.
1,23,179,4117
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
Greatest Common Factor
We found the factors and prime factorization of 4117 and 4125. The biggest common factor number is the GCF number.
So the greatest common factor 4117 and 4125 is 1.
Also check out the Least Common Multiple of 4117 and 4125
(i) The GCF of 4117 and 4125 is associative
GCF of 4117 and 4125 = GCF of 4125 and 4117
1. What is the GCF of 4117 and 4125?
Answer: GCF of 4117 and 4125 is 1.
2. What are the Factors of 4117?
Answer: Factors of 4117 are 1, 23, 179, 4117. There are 4 integers that are factors of 4117. The greatest factor of 4117 is 4117.
3. 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.
4. How to Find the GCF of 4117 and 4125?
Answer:
Greatest Common Factor of 4117 and 4125 = 1
Step 1: Find the prime factorization of 4117
4117 = 23 x 179
Step 2: Find the prime factorization of 4125
4125 = 3 x 5 x 5 x 5 x 11
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 4117 and 4125 is 1