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 160, 165 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 160 and 165 is 5.
GCF(160,165) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 160
2 | 160 |
2 | 80 |
2 | 40 |
2 | 20 |
2 | 10 |
5 | 5 |
1 |
Prime factors of 160 are 2,5. Prime factorization of 160 in exponential form is:
160 = 25×51
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
∴ So by taking common prime factors GCF of 160 and 165 is 5
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors and prime factorization of 160 and 165. The biggest common factor number is the GCF number.
So the greatest common factor 160 and 165 is 5.
Also check out the Least Common Multiple of 160 and 165
(i) The GCF of 160 and 165 is associative
GCF of 160 and 165 = GCF of 165 and 160
1. What is the GCF of 160 and 165?
Answer: GCF of 160 and 165 is 5.
2. What are the Factors of 160?
Answer: Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. There are 12 integers that are factors of 160. The greatest factor of 160 is 160.
3. 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.
4. How to Find the GCF of 160 and 165?
Answer:
Greatest Common Factor of 160 and 165 = 5
Step 1: Find the prime factorization of 160
160 = 2 x 2 x 2 x 2 x 2 x 5
Step 2: Find the prime factorization of 165
165 = 3 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 = 5
Step 4: Therefore, the greatest common factor of 160 and 165 is 5