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 33162, 33170 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 33162 and 33170 is 2.
GCF(33162,33170) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 33162
2 | 33162 |
3 | 16581 |
5527 | 5527 |
1 |
Prime factors of 33162 are 2,3,5527. Prime factorization of 33162 in exponential form is:
33162 = 21×31×55271
Prime Factorization of 33170
2 | 33170 |
5 | 16585 |
31 | 3317 |
107 | 107 |
1 |
Prime factors of 33170 are 2,5,31,107. Prime factorization of 33170 in exponential form is:
33170 = 21×51×311×1071
∴ So by taking common prime factors GCF of 33162 and 33170 is 2
Factors of 33162
List of positive integer factors of 33162 that divides 33162 without a remainder.
1,2,3,6,5527,11054,16581,33162
Factors of 33170
List of positive integer factors of 33170 that divides 33170 without a remainder.
1,2,5,10,31,62,107,155,214,310,535,1070,3317,6634,16585,33170
Greatest Common Factor
We found the factors and prime factorization of 33162 and 33170. The biggest common factor number is the GCF number.
So the greatest common factor 33162 and 33170 is 2.
Also check out the Least Common Multiple of 33162 and 33170
(i) The GCF of 33162 and 33170 is associative
GCF of 33162 and 33170 = GCF of 33170 and 33162
1. What is the GCF of 33162 and 33170?
Answer: GCF of 33162 and 33170 is 2.
2. What are the Factors of 33162?
Answer: Factors of 33162 are 1, 2, 3, 6, 5527, 11054, 16581, 33162. There are 8 integers that are factors of 33162. The greatest factor of 33162 is 33162.
3. What are the Factors of 33170?
Answer: Factors of 33170 are 1, 2, 5, 10, 31, 62, 107, 155, 214, 310, 535, 1070, 3317, 6634, 16585, 33170. There are 16 integers that are factors of 33170. The greatest factor of 33170 is 33170.
4. How to Find the GCF of 33162 and 33170?
Answer:
Greatest Common Factor of 33162 and 33170 = 2
Step 1: Find the prime factorization of 33162
33162 = 2 x 3 x 5527
Step 2: Find the prime factorization of 33170
33170 = 2 x 5 x 31 x 107
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 33162 and 33170 is 2