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 6165, 6170 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6165 and 6170 is 5.
GCF(6165,6170) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6165
3 | 6165 |
3 | 2055 |
5 | 685 |
137 | 137 |
1 |
Prime factors of 6165 are 3,5,137. Prime factorization of 6165 in exponential form is:
6165 = 32×51×1371
Prime Factorization of 6170
2 | 6170 |
5 | 3085 |
617 | 617 |
1 |
Prime factors of 6170 are 2,5,617. Prime factorization of 6170 in exponential form is:
6170 = 21×51×6171
∴ So by taking common prime factors GCF of 6165 and 6170 is 5
Factors of 6165
List of positive integer factors of 6165 that divides 6165 without a remainder.
1,3,5,9,15,45,137,411,685,1233,2055,6165
Factors of 6170
List of positive integer factors of 6170 that divides 6170 without a remainder.
1,2,5,10,617,1234,3085,6170
Greatest Common Factor
We found the factors and prime factorization of 6165 and 6170. The biggest common factor number is the GCF number.
So the greatest common factor 6165 and 6170 is 5.
Also check out the Least Common Multiple of 6165 and 6170
(i) The GCF of 6165 and 6170 is associative
GCF of 6165 and 6170 = GCF of 6170 and 6165
1. What is the GCF of 6165 and 6170?
Answer: GCF of 6165 and 6170 is 5.
2. What are the Factors of 6165?
Answer: Factors of 6165 are 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165. There are 12 integers that are factors of 6165. The greatest factor of 6165 is 6165.
3. What are the Factors of 6170?
Answer: Factors of 6170 are 1, 2, 5, 10, 617, 1234, 3085, 6170. There are 8 integers that are factors of 6170. The greatest factor of 6170 is 6170.
4. How to Find the GCF of 6165 and 6170?
Answer:
Greatest Common Factor of 6165 and 6170 = 5
Step 1: Find the prime factorization of 6165
6165 = 3 x 3 x 5 x 137
Step 2: Find the prime factorization of 6170
6170 = 2 x 5 x 617
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 6165 and 6170 is 5