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 33166, 33171 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 33166 and 33171 is 1.
GCF(33166,33171) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 33166
2 | 33166 |
7 | 16583 |
23 | 2369 |
103 | 103 |
1 |
Prime factors of 33166 are 2,7,23,103. Prime factorization of 33166 in exponential form is:
33166 = 21×71×231×1031
Prime Factorization of 33171
3 | 33171 |
11057 | 11057 |
1 |
Prime factors of 33171 are 3,11057. Prime factorization of 33171 in exponential form is:
33171 = 31×110571
∴ So by taking common prime factors GCF of 33166 and 33171 is 1
Factors of 33166
List of positive integer factors of 33166 that divides 33166 without a remainder.
1,2,7,14,23,46,103,161,206,322,721,1442,2369,4738,16583,33166
Factors of 33171
List of positive integer factors of 33171 that divides 33171 without a remainder.
1,3,11057,33171
Greatest Common Factor
We found the factors and prime factorization of 33166 and 33171. The biggest common factor number is the GCF number.
So the greatest common factor 33166 and 33171 is 1.
Also check out the Least Common Multiple of 33166 and 33171
(i) The GCF of 33166 and 33171 is associative
GCF of 33166 and 33171 = GCF of 33171 and 33166
1. What is the GCF of 33166 and 33171?
Answer: GCF of 33166 and 33171 is 1.
2. What are the Factors of 33166?
Answer: Factors of 33166 are 1, 2, 7, 14, 23, 46, 103, 161, 206, 322, 721, 1442, 2369, 4738, 16583, 33166. There are 16 integers that are factors of 33166. The greatest factor of 33166 is 33166.
3. What are the Factors of 33171?
Answer: Factors of 33171 are 1, 3, 11057, 33171. There are 4 integers that are factors of 33171. The greatest factor of 33171 is 33171.
4. How to Find the GCF of 33166 and 33171?
Answer:
Greatest Common Factor of 33166 and 33171 = 1
Step 1: Find the prime factorization of 33166
33166 = 2 x 7 x 23 x 103
Step 2: Find the prime factorization of 33171
33171 = 3 x 11057
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 33166 and 33171 is 1