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 33159, 33165 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 33159 and 33165 is 3.
GCF(33159,33165) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 33159
3 | 33159 |
7 | 11053 |
1579 | 1579 |
1 |
Prime factors of 33159 are 3,7,1579. Prime factorization of 33159 in exponential form is:
33159 = 31×71×15791
Prime Factorization of 33165
3 | 33165 |
3 | 11055 |
5 | 3685 |
11 | 737 |
67 | 67 |
1 |
Prime factors of 33165 are 3,5,11,67. Prime factorization of 33165 in exponential form is:
33165 = 32×51×111×671
∴ So by taking common prime factors GCF of 33159 and 33165 is 3
Factors of 33159
List of positive integer factors of 33159 that divides 33159 without a remainder.
1,3,7,21,1579,4737,11053,33159
Factors of 33165
List of positive integer factors of 33165 that divides 33165 without a remainder.
1,3,5,9,11,15,33,45,55,67,99,165,201,335,495,603,737,1005,2211,3015,3685,6633,11055,33165
Greatest Common Factor
We found the factors and prime factorization of 33159 and 33165. The biggest common factor number is the GCF number.
So the greatest common factor 33159 and 33165 is 3.
Also check out the Least Common Multiple of 33159 and 33165
(i) The GCF of 33159 and 33165 is associative
GCF of 33159 and 33165 = GCF of 33165 and 33159
1. What is the GCF of 33159 and 33165?
Answer: GCF of 33159 and 33165 is 3.
2. What are the Factors of 33159?
Answer: Factors of 33159 are 1, 3, 7, 21, 1579, 4737, 11053, 33159. There are 8 integers that are factors of 33159. The greatest factor of 33159 is 33159.
3. What are the Factors of 33165?
Answer: Factors of 33165 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 67, 99, 165, 201, 335, 495, 603, 737, 1005, 2211, 3015, 3685, 6633, 11055, 33165. There are 24 integers that are factors of 33165. The greatest factor of 33165 is 33165.
4. How to Find the GCF of 33159 and 33165?
Answer:
Greatest Common Factor of 33159 and 33165 = 3
Step 1: Find the prime factorization of 33159
33159 = 3 x 7 x 1579
Step 2: Find the prime factorization of 33165
33165 = 3 x 3 x 5 x 11 x 67
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 33159 and 33165 is 3