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 165, 168 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 165 and 168 is 3.
GCF(165,168) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 165
3 | 165 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 165 are 3,5,11. Prime factorization of 165 in exponential form is:
165 = 31×51×111
Prime Factorization of 168
2 | 168 |
2 | 84 |
2 | 42 |
3 | 21 |
7 | 7 |
1 |
Prime factors of 168 are 2,3,7. Prime factorization of 168 in exponential form is:
168 = 23×31×71
∴ So by taking common prime factors GCF of 165 and 168 is 3
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors and prime factorization of 165 and 168. The biggest common factor number is the GCF number.
So the greatest common factor 165 and 168 is 3.
Also check out the Least Common Multiple of 165 and 168
(i) The GCF of 165 and 168 is associative
GCF of 165 and 168 = GCF of 168 and 165
1. What is the GCF of 165 and 168?
Answer: GCF of 165 and 168 is 3.
2. What are the Factors of 165?
Answer: Factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165. There are 8 integers that are factors of 165. The greatest factor of 165 is 165.
3. What are the Factors of 168?
Answer: Factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168. There are 16 integers that are factors of 168. The greatest factor of 168 is 168.
4. How to Find the GCF of 165 and 168?
Answer:
Greatest Common Factor of 165 and 168 = 3
Step 1: Find the prime factorization of 165
165 = 3 x 5 x 11
Step 2: Find the prime factorization of 168
168 = 2 x 2 x 2 x 3 x 7
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 165 and 168 is 3