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 5169, 5175 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5169 and 5175 is 3.
GCF(5169,5175) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5169
3 | 5169 |
1723 | 1723 |
1 |
Prime factors of 5169 are 3,1723. Prime factorization of 5169 in exponential form is:
5169 = 31×17231
Prime Factorization of 5175
3 | 5175 |
3 | 1725 |
5 | 575 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 5175 are 3,5,23. Prime factorization of 5175 in exponential form is:
5175 = 32×52×231
∴ So by taking common prime factors GCF of 5169 and 5175 is 3
Factors of 5169
List of positive integer factors of 5169 that divides 5169 without a remainder.
1,3,1723,5169
Factors of 5175
List of positive integer factors of 5175 that divides 5175 without a remainder.
1,3,5,9,15,23,25,45,69,75,115,207,225,345,575,1035,1725,5175
Greatest Common Factor
We found the factors and prime factorization of 5169 and 5175. The biggest common factor number is the GCF number.
So the greatest common factor 5169 and 5175 is 3.
Also check out the Least Common Multiple of 5169 and 5175
(i) The GCF of 5169 and 5175 is associative
GCF of 5169 and 5175 = GCF of 5175 and 5169
1. What is the GCF of 5169 and 5175?
Answer: GCF of 5169 and 5175 is 3.
2. What are the Factors of 5169?
Answer: Factors of 5169 are 1, 3, 1723, 5169. There are 4 integers that are factors of 5169. The greatest factor of 5169 is 5169.
3. What are the Factors of 5175?
Answer: Factors of 5175 are 1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175. There are 18 integers that are factors of 5175. The greatest factor of 5175 is 5175.
4. How to Find the GCF of 5169 and 5175?
Answer:
Greatest Common Factor of 5169 and 5175 = 3
Step 1: Find the prime factorization of 5169
5169 = 3 x 1723
Step 2: Find the prime factorization of 5175
5175 = 3 x 3 x 5 x 5 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 5169 and 5175 is 3