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 3311, 3316 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3311 and 3316 is 1.
GCF(3311,3316) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3311
7 | 3311 |
11 | 473 |
43 | 43 |
1 |
Prime factors of 3311 are 7,11,43. Prime factorization of 3311 in exponential form is:
3311 = 71×111×431
Prime Factorization of 3316
2 | 3316 |
2 | 1658 |
829 | 829 |
1 |
Prime factors of 3316 are 2,829. Prime factorization of 3316 in exponential form is:
3316 = 22×8291
∴ So by taking common prime factors GCF of 3311 and 3316 is 1
Factors of 3311
List of positive integer factors of 3311 that divides 3311 without a remainder.
1,7,11,43,77,301,473,3311
Factors of 3316
List of positive integer factors of 3316 that divides 3316 without a remainder.
1,2,4,829,1658,3316
Greatest Common Factor
We found the factors and prime factorization of 3311 and 3316. The biggest common factor number is the GCF number.
So the greatest common factor 3311 and 3316 is 1.
Also check out the Least Common Multiple of 3311 and 3316
(i) The GCF of 3311 and 3316 is associative
GCF of 3311 and 3316 = GCF of 3316 and 3311
1. What is the GCF of 3311 and 3316?
Answer: GCF of 3311 and 3316 is 1.
2. What are the Factors of 3311?
Answer: Factors of 3311 are 1, 7, 11, 43, 77, 301, 473, 3311. There are 8 integers that are factors of 3311. The greatest factor of 3311 is 3311.
3. What are the Factors of 3316?
Answer: Factors of 3316 are 1, 2, 4, 829, 1658, 3316. There are 6 integers that are factors of 3316. The greatest factor of 3316 is 3316.
4. How to Find the GCF of 3311 and 3316?
Answer:
Greatest Common Factor of 3311 and 3316 = 1
Step 1: Find the prime factorization of 3311
3311 = 7 x 11 x 43
Step 2: Find the prime factorization of 3316
3316 = 2 x 2 x 829
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 3311 and 3316 is 1