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, 3317 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3311 and 3317 is 1.
GCF(3311,3317) = 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 3317
31 | 3317 |
107 | 107 |
1 |
Prime factors of 3317 are 31,107. Prime factorization of 3317 in exponential form is:
3317 = 311×1071
∴ So by taking common prime factors GCF of 3311 and 3317 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 3317
List of positive integer factors of 3317 that divides 3317 without a remainder.
1,31,107,3317
Greatest Common Factor
We found the factors and prime factorization of 3311 and 3317. The biggest common factor number is the GCF number.
So the greatest common factor 3311 and 3317 is 1.
Also check out the Least Common Multiple of 3311 and 3317
(i) The GCF of 3311 and 3317 is associative
GCF of 3311 and 3317 = GCF of 3317 and 3311
1. What is the GCF of 3311 and 3317?
Answer: GCF of 3311 and 3317 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 3317?
Answer: Factors of 3317 are 1, 31, 107, 3317. There are 4 integers that are factors of 3317. The greatest factor of 3317 is 3317.
4. How to Find the GCF of 3311 and 3317?
Answer:
Greatest Common Factor of 3311 and 3317 = 1
Step 1: Find the prime factorization of 3311
3311 = 7 x 11 x 43
Step 2: Find the prime factorization of 3317
3317 = 31 x 107
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 3317 is 1