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 3166, 3168 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3166 and 3168 is 2.
GCF(3166,3168) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3166
2 | 3166 |
1583 | 1583 |
1 |
Prime factors of 3166 are 2,1583. Prime factorization of 3166 in exponential form is:
3166 = 21×15831
Prime Factorization of 3168
2 | 3168 |
2 | 1584 |
2 | 792 |
2 | 396 |
2 | 198 |
3 | 99 |
3 | 33 |
11 | 11 |
1 |
Prime factors of 3168 are 2,3,11. Prime factorization of 3168 in exponential form is:
3168 = 25×32×111
∴ So by taking common prime factors GCF of 3166 and 3168 is 2
Factors of 3166
List of positive integer factors of 3166 that divides 3166 without a remainder.
1,2,1583,3166
Factors of 3168
List of positive integer factors of 3168 that divides 3168 without a remainder.
1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,66,72,88,96,99,132,144,176,198,264,288,352,396,528,792,1056,1584,3168
Greatest Common Factor
We found the factors and prime factorization of 3166 and 3168. The biggest common factor number is the GCF number.
So the greatest common factor 3166 and 3168 is 2.
Also check out the Least Common Multiple of 3166 and 3168
(i) The GCF of 3166 and 3168 is associative
GCF of 3166 and 3168 = GCF of 3168 and 3166
1. What is the GCF of 3166 and 3168?
Answer: GCF of 3166 and 3168 is 2.
2. What are the Factors of 3166?
Answer: Factors of 3166 are 1, 2, 1583, 3166. There are 4 integers that are factors of 3166. The greatest factor of 3166 is 3166.
3. What are the Factors of 3168?
Answer: Factors of 3168 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 132, 144, 176, 198, 264, 288, 352, 396, 528, 792, 1056, 1584, 3168. There are 36 integers that are factors of 3168. The greatest factor of 3168 is 3168.
4. How to Find the GCF of 3166 and 3168?
Answer:
Greatest Common Factor of 3166 and 3168 = 2
Step 1: Find the prime factorization of 3166
3166 = 2 x 1583
Step 2: Find the prime factorization of 3168
3168 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11
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 3166 and 3168 is 2