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 3165, 3170 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3165 and 3170 is 5.
GCF(3165,3170) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3165
3 | 3165 |
5 | 1055 |
211 | 211 |
1 |
Prime factors of 3165 are 3,5,211. Prime factorization of 3165 in exponential form is:
3165 = 31×51×2111
Prime Factorization of 3170
2 | 3170 |
5 | 1585 |
317 | 317 |
1 |
Prime factors of 3170 are 2,5,317. Prime factorization of 3170 in exponential form is:
3170 = 21×51×3171
∴ So by taking common prime factors GCF of 3165 and 3170 is 5
Factors of 3165
List of positive integer factors of 3165 that divides 3165 without a remainder.
1,3,5,15,211,633,1055,3165
Factors of 3170
List of positive integer factors of 3170 that divides 3170 without a remainder.
1,2,5,10,317,634,1585,3170
Greatest Common Factor
We found the factors and prime factorization of 3165 and 3170. The biggest common factor number is the GCF number.
So the greatest common factor 3165 and 3170 is 5.
Also check out the Least Common Multiple of 3165 and 3170
(i) The GCF of 3165 and 3170 is associative
GCF of 3165 and 3170 = GCF of 3170 and 3165
1. What is the GCF of 3165 and 3170?
Answer: GCF of 3165 and 3170 is 5.
2. What are the Factors of 3165?
Answer: Factors of 3165 are 1, 3, 5, 15, 211, 633, 1055, 3165. There are 8 integers that are factors of 3165. The greatest factor of 3165 is 3165.
3. What are the Factors of 3170?
Answer: Factors of 3170 are 1, 2, 5, 10, 317, 634, 1585, 3170. There are 8 integers that are factors of 3170. The greatest factor of 3170 is 3170.
4. How to Find the GCF of 3165 and 3170?
Answer:
Greatest Common Factor of 3165 and 3170 = 5
Step 1: Find the prime factorization of 3165
3165 = 3 x 5 x 211
Step 2: Find the prime factorization of 3170
3170 = 2 x 5 x 317
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 3165 and 3170 is 5