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 3381, 3389 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3381 and 3389 is 1.
GCF(3381,3389) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3381
3 | 3381 |
7 | 1127 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 3381 are 3,7,23. Prime factorization of 3381 in exponential form is:
3381 = 31×72×231
Prime Factorization of 3389
3389 | 3389 |
1 |
Prime factors of 3389 are 3389. Prime factorization of 3389 in exponential form is:
3389 = 33891
∴ So by taking common prime factors GCF of 3381 and 3389 is 1
Factors of 3381
List of positive integer factors of 3381 that divides 3381 without a remainder.
1,3,7,21,23,49,69,147,161,483,1127,3381
Factors of 3389
List of positive integer factors of 3389 that divides 3389 without a remainder.
1,3389
Greatest Common Factor
We found the factors and prime factorization of 3381 and 3389. The biggest common factor number is the GCF number.
So the greatest common factor 3381 and 3389 is 1.
Also check out the Least Common Multiple of 3381 and 3389
(i) The GCF of 3381 and 3389 is associative
GCF of 3381 and 3389 = GCF of 3389 and 3381
1. What is the GCF of 3381 and 3389?
Answer: GCF of 3381 and 3389 is 1.
2. What are the Factors of 3381?
Answer: Factors of 3381 are 1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 1127, 3381. There are 12 integers that are factors of 3381. The greatest factor of 3381 is 3381.
3. What are the Factors of 3389?
Answer: Factors of 3389 are 1, 3389. There are 2 integers that are factors of 3389. The greatest factor of 3389 is 3389.
4. How to Find the GCF of 3381 and 3389?
Answer:
Greatest Common Factor of 3381 and 3389 = 1
Step 1: Find the prime factorization of 3381
3381 = 3 x 7 x 7 x 23
Step 2: Find the prime factorization of 3389
3389 = 3389
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 3381 and 3389 is 1